Cenap Ozel | King Abdulaziz University (original) (raw)

Papers by Cenap Ozel

Research paper thumbnail of On the use of group theory to generalize elements of pairwise comparisons matrix: a cautionary note

arXiv (Cornell University), Mar 16, 2019

Research paper thumbnail of Rough topologies on classical and based covering rough sets with applications in making decisions on chronic thromboembolic pulmonary hypertension

International Journal of Intelligent Engineering Informatics, 2020

Research paper thumbnail of Infinite Geraghty type extensions and their applications on integral equations

Advances in Difference Equations, Oct 16, 2021

Research paper thumbnail of Rough topologies on classical and based covering rough sets with applications in making decisions on chronic thromboembolic pulmonary hypertension

International Journal of Intelligent Engineering Informatics, 2020

Research paper thumbnail of Homology of warped product submanifolds in the unit sphere and its applications

International Journal of Geometric Methods in Modern Physics, Jul 1, 2020

In this work, several pinched conditions on the Laplacian and gradient of the warping function ar... more In this work, several pinched conditions on the Laplacian and gradient of the warping function are found in consideration of warped product submanifolds structure that force to homology groups vanish with no stable currents. Also, it is proved that a warped product pointwise semi-slant submanifold [Formula: see text] that is compact and oriented in an odd-dimensional spheres [Formula: see text] and [Formula: see text], has no stable integral [Formula: see text]-currents and [Formula: see text]-currents, respectively, and their homology groups are null, provided squared norm of the gradient for warping function satisfies some extrinsic restrictions including the Laplacian of the warping function, pointwise slant functions in addition to dimension of fiber of warped product immersions. Moreover, under assumption of extrinsic condition on the warping function, it is show [Formula: see text] being homeomorphic to a standard sphere [Formula: see text] with [Formula: see text] and homotopic to a standard sphere [Formula: see text] with [Formula: see text]. Further, the same results are generalized for contact CR-warped product submanifolds of same ambient spaces.

Research paper thumbnail of Discrete Gravity in Emergent Space Theory: Hidden Conical Defects and Teleparallel Gravity

Universe, 2023

In the first part of the paper, we try to identify the presence of gravity, at a microscopic leve... more In the first part of the paper, we try to identify the presence of gravity, at a microscopic level,
by introducing conical defects and maintaining an approach that assumes topological equivalence
among the underlying manifolds that form the tissue of the D-brane itself. In the second part, we will
present an alternative to the conical defects, considering the theory of teleparallel gravity, in which
the presence of the torsion and the construction of the brane always occurs within the context of our
new interpretation of emergent spaces.

Research paper thumbnail of First Chen Inequality for General Warped Product Submanifolds of a Riemannian Space Form and Applications

Advances in Pure and Applied Mathematics, Jun 1, 2023

Research paper thumbnail of Corrigendum: On a New Kind of Einstein Warped Product (Polj)-Manifold

Poincare journal of analysis and applications, Jun 25, 2020

Research paper thumbnail of A K-Theory approach to characterize admissible physical manifolds

arXiv (Cornell University), May 26, 2023

Research paper thumbnail of A possible interpretation of financial markets affected by dark volatility

Communications in Analysis and Mechanics, 2023

Research paper thumbnail of Emerging Electric or Magnetic Parts of Weyl Tensor on PNDP- Manifold

In the present paper, we study the PNDP- manifold, which has shown to be effective in application... more In the present paper, we study the PNDP- manifold, which has shown to be effective in applications, particularly in the field of general relativity, by introducing a new topological approach to the emergent electric or magnetic parts associated to the Weyl tensor. The working hypothesis in this study is that the electric or magnetic parts of the Weyl tensor are the dimensions of the PNDP - manifold and the interaction that emerges as ”virtual” pointlike manifolds and as a manifold with positive/ negative dimensions results in the generation of the purely electric or purely magnetic parts of the Weyl tensor. The PNDP metric for the electric or magnetic parts of the Weyl tensor is also derived. The generalized Lorentz transformations on the PNDP manifold are introduced. These can give rise to novel forms of gauge theories if we consider local Lorentz transformations. Also we briefly show that principal fiber bundles with PNDP manifolds as base manifolds can be constructed. Mathematics...

Research paper thumbnail of General inequalities and new shape operator inequality for contact CR-warped product submanifolds in cosymplectic space form

arXiv (Cornell University), Dec 15, 2022

Research paper thumbnail of A family of special case sequential warped-product manifolds

Journal of Geometric Mechanics

We derive the general formulas for a special configuration of the sequential warped-product semi-... more We derive the general formulas for a special configuration of the sequential warped-product semi-Riemannian manifold to be Einstein, where the base-manifold is the product of two manifolds both equipped with a generic diagonal conformal metrics. Subsequently we study the case in which these two manifolds are conformal to a $ n_1 −dimensionaland-dimensional and −dimensionaland n_2 −dimensionalpseudo−Euclideanspace,respectively.Forthelattercase,weprovetheexistenceofafamilyofsolutionsthatareinvariantundertheactionofa-dimensional pseudo-Euclidean space, respectively. For the latter case, we prove the existence of a family of solutions that are invariant under the action of a −dimensionalpseudo−Euclideanspace,respectively.Forthelattercase,weprovetheexistenceofafamilyofsolutionsthatareinvariantundertheactionofa (n_1-1) −dimensionalgroupoftransformationstothecaseofpositiveconstantRiccicurvature(-dimensional group of transformations to the case of positive constant Ricci curvature (−dimensionalgroupoftransformationstothecaseofpositiveconstantRiccicurvature( \lambda > 0 $).

Research paper thumbnail of Geometric inequalities on bi-warped product submanifolds of locally conformal almost cosymplectic manifolds

arXiv (Cornell University), Sep 14, 2022

Research paper thumbnail of A New Type of Contra-continuity via δ‑β‑open Sets

Research paper thumbnail of Systems of Ω-Linear Balances Over Symmetrized Omega Algebra

JP Journal of Algebra, Number Theory and Applications, 2020

Research paper thumbnail of Hesitant Fuzzy Compactness and Hesitant Fuzzy Regularity in Hesitant Fuzzy Topological Spaces

European Journal of Pure and Applied Mathematics

We define hesitant fuzzy maximal open cover to establish hesitant fuzzy m-compactness and discuss... more We define hesitant fuzzy maximal open cover to establish hesitant fuzzy m-compactness and discuss its properties. Further we obtain few more results on hesitant fuzzy minimal c-regular and minimal c-normal spaces. We have proved that a hesitant fuzzy Haussdorff m-compact space is hesitant fuzzy minimal c-normal.

Research paper thumbnail of Existence and Nonexistence of Warped Product Submanifolds of Almost Contact Manifolds

arXiv (Cornell University), May 18, 2022

Research paper thumbnail of On some tensor conditions of nearly Kenmotsu f-manifolds

In this paper, we continue to study on nearly Kenmotsu f-manifolds motivated by previous study. I... more In this paper, we continue to study on nearly Kenmotsu f-manifolds motivated by previous study. In this time, we prove that a second-order symmetric closed recurrent tensor is a multiple of the associated metric tensor on nearly Kenmotsu f-manifolds. Then, we get some necessary condition under which a vector Oeld on a nearly Kenmotsu f-manifold will be a strict generalized contact or Killing vector Oeld. Finally, we show that every '-recurrent nearly Kenmotsu f-manifold is an Einstein manifold of globally framed type and every locally '-recurrent nearly Kenmotsu f-manifold is a manifold of constant curvature.

Research paper thumbnail of Multiple Attribute Decision Making Algorithm via Picture Fuzzy Nano Topological Spaces

Symmetry, 2021

Picture fuzzy nano topological spaces is an extension of intuitionistic fuzzy nano topological sp... more Picture fuzzy nano topological spaces is an extension of intuitionistic fuzzy nano topological spaces. Every decision in life ends with an answer such as yes or no, or true or false, but we have an another component called abstain, which we have not yet considered. This work is a gateway to study such a problem. This paper motivates an enquiry of the third component—abstain—in practical problems. The aim of this paper is to investigate the contemporary notion of picture fuzzy nano topological spaces and explore some of its properties. The stated properties are quantified with numerical data. Furthermore, an algorithm for Multiple Attribute Decision-Making (MADM) with an application regarding the file selection of building material under uncertainty by using picture fuzzy nano topological spaces is developed. As a practical problem, a comparison table is presented to show the difference between the novel concept and the existing methods.

Research paper thumbnail of On the use of group theory to generalize elements of pairwise comparisons matrix: a cautionary note

arXiv (Cornell University), Mar 16, 2019

Research paper thumbnail of Rough topologies on classical and based covering rough sets with applications in making decisions on chronic thromboembolic pulmonary hypertension

International Journal of Intelligent Engineering Informatics, 2020

Research paper thumbnail of Infinite Geraghty type extensions and their applications on integral equations

Advances in Difference Equations, Oct 16, 2021

Research paper thumbnail of Rough topologies on classical and based covering rough sets with applications in making decisions on chronic thromboembolic pulmonary hypertension

International Journal of Intelligent Engineering Informatics, 2020

Research paper thumbnail of Homology of warped product submanifolds in the unit sphere and its applications

International Journal of Geometric Methods in Modern Physics, Jul 1, 2020

In this work, several pinched conditions on the Laplacian and gradient of the warping function ar... more In this work, several pinched conditions on the Laplacian and gradient of the warping function are found in consideration of warped product submanifolds structure that force to homology groups vanish with no stable currents. Also, it is proved that a warped product pointwise semi-slant submanifold [Formula: see text] that is compact and oriented in an odd-dimensional spheres [Formula: see text] and [Formula: see text], has no stable integral [Formula: see text]-currents and [Formula: see text]-currents, respectively, and their homology groups are null, provided squared norm of the gradient for warping function satisfies some extrinsic restrictions including the Laplacian of the warping function, pointwise slant functions in addition to dimension of fiber of warped product immersions. Moreover, under assumption of extrinsic condition on the warping function, it is show [Formula: see text] being homeomorphic to a standard sphere [Formula: see text] with [Formula: see text] and homotopic to a standard sphere [Formula: see text] with [Formula: see text]. Further, the same results are generalized for contact CR-warped product submanifolds of same ambient spaces.

Research paper thumbnail of Discrete Gravity in Emergent Space Theory: Hidden Conical Defects and Teleparallel Gravity

Universe, 2023

In the first part of the paper, we try to identify the presence of gravity, at a microscopic leve... more In the first part of the paper, we try to identify the presence of gravity, at a microscopic level,
by introducing conical defects and maintaining an approach that assumes topological equivalence
among the underlying manifolds that form the tissue of the D-brane itself. In the second part, we will
present an alternative to the conical defects, considering the theory of teleparallel gravity, in which
the presence of the torsion and the construction of the brane always occurs within the context of our
new interpretation of emergent spaces.

Research paper thumbnail of First Chen Inequality for General Warped Product Submanifolds of a Riemannian Space Form and Applications

Advances in Pure and Applied Mathematics, Jun 1, 2023

Research paper thumbnail of Corrigendum: On a New Kind of Einstein Warped Product (Polj)-Manifold

Poincare journal of analysis and applications, Jun 25, 2020

Research paper thumbnail of A K-Theory approach to characterize admissible physical manifolds

arXiv (Cornell University), May 26, 2023

Research paper thumbnail of A possible interpretation of financial markets affected by dark volatility

Communications in Analysis and Mechanics, 2023

Research paper thumbnail of Emerging Electric or Magnetic Parts of Weyl Tensor on PNDP- Manifold

In the present paper, we study the PNDP- manifold, which has shown to be effective in application... more In the present paper, we study the PNDP- manifold, which has shown to be effective in applications, particularly in the field of general relativity, by introducing a new topological approach to the emergent electric or magnetic parts associated to the Weyl tensor. The working hypothesis in this study is that the electric or magnetic parts of the Weyl tensor are the dimensions of the PNDP - manifold and the interaction that emerges as ”virtual” pointlike manifolds and as a manifold with positive/ negative dimensions results in the generation of the purely electric or purely magnetic parts of the Weyl tensor. The PNDP metric for the electric or magnetic parts of the Weyl tensor is also derived. The generalized Lorentz transformations on the PNDP manifold are introduced. These can give rise to novel forms of gauge theories if we consider local Lorentz transformations. Also we briefly show that principal fiber bundles with PNDP manifolds as base manifolds can be constructed. Mathematics...

Research paper thumbnail of General inequalities and new shape operator inequality for contact CR-warped product submanifolds in cosymplectic space form

arXiv (Cornell University), Dec 15, 2022

Research paper thumbnail of A family of special case sequential warped-product manifolds

Journal of Geometric Mechanics

We derive the general formulas for a special configuration of the sequential warped-product semi-... more We derive the general formulas for a special configuration of the sequential warped-product semi-Riemannian manifold to be Einstein, where the base-manifold is the product of two manifolds both equipped with a generic diagonal conformal metrics. Subsequently we study the case in which these two manifolds are conformal to a $ n_1 −dimensionaland-dimensional and −dimensionaland n_2 −dimensionalpseudo−Euclideanspace,respectively.Forthelattercase,weprovetheexistenceofafamilyofsolutionsthatareinvariantundertheactionofa-dimensional pseudo-Euclidean space, respectively. For the latter case, we prove the existence of a family of solutions that are invariant under the action of a −dimensionalpseudo−Euclideanspace,respectively.Forthelattercase,weprovetheexistenceofafamilyofsolutionsthatareinvariantundertheactionofa (n_1-1) −dimensionalgroupoftransformationstothecaseofpositiveconstantRiccicurvature(-dimensional group of transformations to the case of positive constant Ricci curvature (−dimensionalgroupoftransformationstothecaseofpositiveconstantRiccicurvature( \lambda > 0 $).

Research paper thumbnail of Geometric inequalities on bi-warped product submanifolds of locally conformal almost cosymplectic manifolds

arXiv (Cornell University), Sep 14, 2022

Research paper thumbnail of A New Type of Contra-continuity via δ‑β‑open Sets

Research paper thumbnail of Systems of Ω-Linear Balances Over Symmetrized Omega Algebra

JP Journal of Algebra, Number Theory and Applications, 2020

Research paper thumbnail of Hesitant Fuzzy Compactness and Hesitant Fuzzy Regularity in Hesitant Fuzzy Topological Spaces

European Journal of Pure and Applied Mathematics

We define hesitant fuzzy maximal open cover to establish hesitant fuzzy m-compactness and discuss... more We define hesitant fuzzy maximal open cover to establish hesitant fuzzy m-compactness and discuss its properties. Further we obtain few more results on hesitant fuzzy minimal c-regular and minimal c-normal spaces. We have proved that a hesitant fuzzy Haussdorff m-compact space is hesitant fuzzy minimal c-normal.

Research paper thumbnail of Existence and Nonexistence of Warped Product Submanifolds of Almost Contact Manifolds

arXiv (Cornell University), May 18, 2022

Research paper thumbnail of On some tensor conditions of nearly Kenmotsu f-manifolds

In this paper, we continue to study on nearly Kenmotsu f-manifolds motivated by previous study. I... more In this paper, we continue to study on nearly Kenmotsu f-manifolds motivated by previous study. In this time, we prove that a second-order symmetric closed recurrent tensor is a multiple of the associated metric tensor on nearly Kenmotsu f-manifolds. Then, we get some necessary condition under which a vector Oeld on a nearly Kenmotsu f-manifold will be a strict generalized contact or Killing vector Oeld. Finally, we show that every '-recurrent nearly Kenmotsu f-manifold is an Einstein manifold of globally framed type and every locally '-recurrent nearly Kenmotsu f-manifold is a manifold of constant curvature.

Research paper thumbnail of Multiple Attribute Decision Making Algorithm via Picture Fuzzy Nano Topological Spaces

Symmetry, 2021

Picture fuzzy nano topological spaces is an extension of intuitionistic fuzzy nano topological sp... more Picture fuzzy nano topological spaces is an extension of intuitionistic fuzzy nano topological spaces. Every decision in life ends with an answer such as yes or no, or true or false, but we have an another component called abstain, which we have not yet considered. This work is a gateway to study such a problem. This paper motivates an enquiry of the third component—abstain—in practical problems. The aim of this paper is to investigate the contemporary notion of picture fuzzy nano topological spaces and explore some of its properties. The stated properties are quantified with numerical data. Furthermore, an algorithm for Multiple Attribute Decision-Making (MADM) with an application regarding the file selection of building material under uncertainty by using picture fuzzy nano topological spaces is developed. As a practical problem, a comparison table is presented to show the difference between the novel concept and the existing methods.

Research paper thumbnail of A member of editorial board for the journal

Research paper thumbnail of - Member of Editorial Board of International Journal of Computer & Information Technologies

of International Journal of Computer & Information Technologies http://www.ijocit.org/