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Papers by Shashikant Pandey

Novi Sad Journal of Mathematics, 2020

Filomat, 2017

In the present paper, we introduce slant Riemannian maps from an almost contact manifold to Riema... more In the present paper, we introduce slant Riemannian maps from an almost contact manifold to Riemannian manifolds. We obtain the existence condition of slant Riemannian maps from an almost contact manifold to Riemannian manifolds. Moreover, we find the necessary and sufficient condition for slant Riemannian map to be totally geodesic and investigate the harmonicity of slant Riemannian maps from Sasakian manifold to Riemannian manifolds. Finally, we obtain a decomposition theorem for the total manifolds and also provide some examples of such maps.

The purpose of this paper is to study a totally contact umbilical contact CRlightlike submanifold... more The purpose of this paper is to study a totally contact umbilical contact CRlightlike submanifolds of an indefinite para-Sasakian manifold. In this paper, we prove that a totally contact umbilical CR-lightlike submanifold is totally contact geodesic. Further, we obtain a necessary and sufficient condition for a CR-lightlike submanifold to be anti-invariant submanifold. Finally, we obtain the integrability condition of distributions and also characterize a contact CR-lightlike submanifold of indefinite para-Sasakian manifold to be a contact CR-lightlike product.

Communications of The Korean Mathematical Society, 2020

The objective of the present paper is to study and investigate the geometric properties of Concir... more The objective of the present paper is to study and investigate the geometric properties of Concircular curvature tensor on Lorentzian type para-Sasakian manifold endowed with the quarter-symmetric nonmetric connection. At last, we provide an example which satisfies the conditions of \(\xi _{*}\)-Concircularly flat and \(\phi _{*}\)-Concircularly flat Lorentzian type para-Sasakian manifold endowed with the quarter-symmetric nonmetric connection.

The object of the present paper is to study the geometric properties of Concircular curvature ten... more The object of the present paper is to study the geometric properties of Concircular curvature tensor on Lorentzian alpha−\alpha -alpha−Sasakian manifold admitting a type of quarter-symmetric metric connection. In the last, we provide an example of 3-dimensional Lorentzian alpha−\alpha -alpha−Sasakian manifold endowed with the quarter-symmetric metric connection which is under consideration is an eta−\eta -eta−Einstein manifold with respect to the quarter-symmetric metric connection.

The purpose of this paper is to study a totally contact umbilical contact CR- lightlike submanifo... more The purpose of this paper is to study a totally contact umbilical contact CR- lightlike submanifolds of an indefinite para-Sasakian manifold. In this paper, we prove that a totally contact umbilical CR-lightlike submanifold is totally contact geodesic. Further, we obtain a necessary and sufficient condition for a CR-lightlike submanifold to be anti-invariant submanifold. Finally, we obtain the integrability condition of distributions and also characterize a contact CR-lightlike submanifold of indefinite para-Sasakian manifold to be a contact CR-lightlike product.

Annals of West University of Timisoara - Mathematics and Computer Science, 2019

In the present paper, some results on a Lorentzian Sasakian manifold endowed with a quarter-symme... more In the present paper, some results on a Lorentzian Sasakian manifold endowed with a quarter-symmetric metric connection have been studied.

Novi Sad Journal of Mathematics, 2017

Nepal Medical College journal : NMCJ, 2007

Facial region is drained by the maxillary, facial and superficial temporal veins. In the present ... more Facial region is drained by the maxillary, facial and superficial temporal veins. In the present case, retromandibular venous junction divided into anterior and posterior divisions immediately after its formation and a common venous channel was formed between internal jugular and anterior jugular veins where facial, lingual and submental veins drained.

In this paper, we introduce hemi-slant Riemannian maps from almost contact metric manifolds into ... more In this paper, we introduce hemi-slant Riemannian maps from almost contact metric manifolds into Riemannian manifolds as a generalization of anti-invariant Riemannian maps, semi-invariant Riemannian maps and slant Riemannian maps from almost contact metric manifolds into Riemannian manifolds. Further, we obtain necessary and sufficient c onditions for integrability of distributions which are involved in the definition of hemi-slant Riemannian maps and study the geometry of leaves. After it, we investigate the necessary and sufficient condition for hemi-slant Riemannian maps to be totally geodesic and harmonic. Finally, we obtain a characterization theorem for the proper hemi-slant Riemannian maps from Sasakian manifolds to Riemannian manifolds with totally umbilical fibers a nd a lso w e p rovide s ome examples of such maps.

The purpose of the present paper is to introduce the conformal semi-invariant ξ ^⊥-Riemannian sub... more The purpose of the present paper is to introduce the conformal semi-invariant ξ ^⊥-Riemannian submersions from almost contact metric manifolds onto Riemannian manifolds as a generalization of anti-invariant submersions, semi-invariant submersions, anti-invariant ξ ^⊥-submersions, semi-invariant ξ ^⊥ ^⊥-submersions, conformal semi-invariant submersions. We obtain characterizations and investigate the integrability of distributions which are arisen from the definition of conformal semi-invariantξ^⊥-Riemannian submersions. We find out the necessary and sufficient conditions for a conformal semi-invariantξ^⊥-Riemannian submersions to be totally geodesic and harmonic. Finally, examples are also given for conformal semi-invariant submersions with horizontal Reeb vector field.

Facta Universitatis, Series: Mathematics and Informatics

The objective of present research article is to investigate the geometric properties of eta\etaeta-Ri... more The objective of present research article is to investigate the geometric properties of eta\etaeta-Ricci solitons on Lorentzian para-Kenmotsu manifolds. In this manner, we consider eta\etaeta-Ricci solitons on Lorentzian para-Kenmotsu manifolds satisfying RcdotS=0R\cdot S=0RcdotS=0. Further, we obtain results for eta\etaeta-Ricci solitons on Lorentzian para-Kenmotsu manifolds with quasi-conformally flat property. Moreover, we get results for eta\etaeta-Ricci solitons in Lorentzian para-Kenmotsu manifolds admitting Codazzi type of Ricci tensor and cyclic parallel Ricci tensor, eta\etaeta-quasi-conformally semi-symmetric, eta\etaeta-Ricci symmetric and quasi-conformally Ricci semi-symmetric. At last, we construct an example of a such manifold which justify the existence of proper eta\etaeta-Ricci solitons.

IOSR Journal of Mathematics, 2014

In this paper we introduce the notion of weakly Ricci-symmetric-trans-Sasakian manifolds and stud... more In this paper we introduce the notion of weakly Ricci-symmetric-trans-Sasakian manifolds and study characteristic properties of locally-Ricci symmetric and-recurrent spaces. Finally, local symmetry of a generalized recurrent weakly symmetric-trans-Sasakian manifolds is discussed.

Novi Sad Journal of Mathematics, 2020

Filomat, 2017

In the present paper, we introduce slant Riemannian maps from an almost contact manifold to Riema... more In the present paper, we introduce slant Riemannian maps from an almost contact manifold to Riemannian manifolds. We obtain the existence condition of slant Riemannian maps from an almost contact manifold to Riemannian manifolds. Moreover, we find the necessary and sufficient condition for slant Riemannian map to be totally geodesic and investigate the harmonicity of slant Riemannian maps from Sasakian manifold to Riemannian manifolds. Finally, we obtain a decomposition theorem for the total manifolds and also provide some examples of such maps.

The purpose of this paper is to study a totally contact umbilical contact CRlightlike submanifold... more The purpose of this paper is to study a totally contact umbilical contact CRlightlike submanifolds of an indefinite para-Sasakian manifold. In this paper, we prove that a totally contact umbilical CR-lightlike submanifold is totally contact geodesic. Further, we obtain a necessary and sufficient condition for a CR-lightlike submanifold to be anti-invariant submanifold. Finally, we obtain the integrability condition of distributions and also characterize a contact CR-lightlike submanifold of indefinite para-Sasakian manifold to be a contact CR-lightlike product.

Communications of The Korean Mathematical Society, 2020

The objective of the present paper is to study and investigate the geometric properties of Concir... more The objective of the present paper is to study and investigate the geometric properties of Concircular curvature tensor on Lorentzian type para-Sasakian manifold endowed with the quarter-symmetric nonmetric connection. At last, we provide an example which satisfies the conditions of \(\xi _{*}\)-Concircularly flat and \(\phi _{*}\)-Concircularly flat Lorentzian type para-Sasakian manifold endowed with the quarter-symmetric nonmetric connection.

The object of the present paper is to study the geometric properties of Concircular curvature ten... more The object of the present paper is to study the geometric properties of Concircular curvature tensor on Lorentzian alpha−\alpha -alpha−Sasakian manifold admitting a type of quarter-symmetric metric connection. In the last, we provide an example of 3-dimensional Lorentzian alpha−\alpha -alpha−Sasakian manifold endowed with the quarter-symmetric metric connection which is under consideration is an eta−\eta -eta−Einstein manifold with respect to the quarter-symmetric metric connection.

The purpose of this paper is to study a totally contact umbilical contact CR- lightlike submanifo... more The purpose of this paper is to study a totally contact umbilical contact CR- lightlike submanifolds of an indefinite para-Sasakian manifold. In this paper, we prove that a totally contact umbilical CR-lightlike submanifold is totally contact geodesic. Further, we obtain a necessary and sufficient condition for a CR-lightlike submanifold to be anti-invariant submanifold. Finally, we obtain the integrability condition of distributions and also characterize a contact CR-lightlike submanifold of indefinite para-Sasakian manifold to be a contact CR-lightlike product.

Annals of West University of Timisoara - Mathematics and Computer Science, 2019

In the present paper, some results on a Lorentzian Sasakian manifold endowed with a quarter-symme... more In the present paper, some results on a Lorentzian Sasakian manifold endowed with a quarter-symmetric metric connection have been studied.

Novi Sad Journal of Mathematics, 2017

Nepal Medical College journal : NMCJ, 2007

Facial region is drained by the maxillary, facial and superficial temporal veins. In the present ... more Facial region is drained by the maxillary, facial and superficial temporal veins. In the present case, retromandibular venous junction divided into anterior and posterior divisions immediately after its formation and a common venous channel was formed between internal jugular and anterior jugular veins where facial, lingual and submental veins drained.

In this paper, we introduce hemi-slant Riemannian maps from almost contact metric manifolds into ... more In this paper, we introduce hemi-slant Riemannian maps from almost contact metric manifolds into Riemannian manifolds as a generalization of anti-invariant Riemannian maps, semi-invariant Riemannian maps and slant Riemannian maps from almost contact metric manifolds into Riemannian manifolds. Further, we obtain necessary and sufficient c onditions for integrability of distributions which are involved in the definition of hemi-slant Riemannian maps and study the geometry of leaves. After it, we investigate the necessary and sufficient condition for hemi-slant Riemannian maps to be totally geodesic and harmonic. Finally, we obtain a characterization theorem for the proper hemi-slant Riemannian maps from Sasakian manifolds to Riemannian manifolds with totally umbilical fibers a nd a lso w e p rovide s ome examples of such maps.

The purpose of the present paper is to introduce the conformal semi-invariant ξ ^⊥-Riemannian sub... more The purpose of the present paper is to introduce the conformal semi-invariant ξ ^⊥-Riemannian submersions from almost contact metric manifolds onto Riemannian manifolds as a generalization of anti-invariant submersions, semi-invariant submersions, anti-invariant ξ ^⊥-submersions, semi-invariant ξ ^⊥ ^⊥-submersions, conformal semi-invariant submersions. We obtain characterizations and investigate the integrability of distributions which are arisen from the definition of conformal semi-invariantξ^⊥-Riemannian submersions. We find out the necessary and sufficient conditions for a conformal semi-invariantξ^⊥-Riemannian submersions to be totally geodesic and harmonic. Finally, examples are also given for conformal semi-invariant submersions with horizontal Reeb vector field.

Facta Universitatis, Series: Mathematics and Informatics

The objective of present research article is to investigate the geometric properties of eta\etaeta-Ri... more The objective of present research article is to investigate the geometric properties of eta\etaeta-Ricci solitons on Lorentzian para-Kenmotsu manifolds. In this manner, we consider eta\etaeta-Ricci solitons on Lorentzian para-Kenmotsu manifolds satisfying RcdotS=0R\cdot S=0RcdotS=0. Further, we obtain results for eta\etaeta-Ricci solitons on Lorentzian para-Kenmotsu manifolds with quasi-conformally flat property. Moreover, we get results for eta\etaeta-Ricci solitons in Lorentzian para-Kenmotsu manifolds admitting Codazzi type of Ricci tensor and cyclic parallel Ricci tensor, eta\etaeta-quasi-conformally semi-symmetric, eta\etaeta-Ricci symmetric and quasi-conformally Ricci semi-symmetric. At last, we construct an example of a such manifold which justify the existence of proper eta\etaeta-Ricci solitons.

IOSR Journal of Mathematics, 2014

In this paper we introduce the notion of weakly Ricci-symmetric-trans-Sasakian manifolds and stud... more In this paper we introduce the notion of weakly Ricci-symmetric-trans-Sasakian manifolds and study characteristic properties of locally-Ricci symmetric and-recurrent spaces. Finally, local symmetry of a generalized recurrent weakly symmetric-trans-Sasakian manifolds is discussed.