Fatma KARACA - Academia.edu (original) (raw)

Papers by Fatma KARACA

Filomat, 2018

We consider gradient Ricci solitons on multiply warped product manifolds. We find the necessary a... more We consider gradient Ricci solitons on multiply warped product manifolds. We find the necessary and sufficient conditions for multiply warped product manifolds to be gradient Ricci solitons.

International Journal of Geometric Methods in Modern Physics, 2021

In this paper, we find the necessary and sufficient conditions for a multiply warped product to b... more In this paper, we find the necessary and sufficient conditions for a multiply warped product to be a gradient Ricci-harmonic soliton. We also investigate the necessary and sufficient conditions for a multiply generalized Robertson–Walker space-time and a generalized Reissner–Nordström space-time to be a gradient Ricci-harmonic soliton.

Journal of Geometry and Physics, 2021

We find the necessary conditions for a sequential warped product manifold to be a quasi-Einstein ... more We find the necessary conditions for a sequential warped product manifold to be a quasi-Einstein manifold. We also investigate the necessary and sufficient conditions for a sequential standard static space-time and a sequential generalized Robertson-Walker space-time to be a manifold of quasi-constant curvature.

Quaestiones Mathematicae, 2020

Abstract We study multiply warped products with compact Einstein manifolds. We obtain that there ... more Abstract We study multiply warped products with compact Einstein manifolds. We obtain that there does not exist connected, compact Einstein multiply warped products if the scalar curvature is non-positive. It is also found that there does not exist non-trivial connected Einstein multiply warped product manifolds with compact base or compact fibres.

Filomat, 2019

We study f-biharmonic integral submanifolds and integral C-parallel submanifolds in generalized S... more We study f-biharmonic integral submanifolds and integral C-parallel submanifolds in generalized Sasakian space forms. As an application, we find the f-biharmonicity conditions for the integral and integral C-parallel submanifolds in Sasakian, ?-Sasakian, Kenmotsu and cosymplectic space forms. Finally, we give also some examples of f-biharmonic integral submanifolds in Sasakian space forms.

Mathematical Sciences and Applications E-Notes, 2020

We classify the curvature of interpolating sesqui-harmonic Legendre curves in generalized Sasakia... more We classify the curvature of interpolating sesqui-harmonic Legendre curves in generalized Sasakian space forms. We investigate the necessary and sufficient conditions for these types of curves in nine cases to be interpolating sesqui-harmonic.

Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2019

We study f-biminimal submanifolds in generalized complex space forms and generalized Sasakian spa... more We study f-biminimal submanifolds in generalized complex space forms and generalized Sasakian space forms. Then, we analyze f-biminimal submanifolds in these spaces. Finally, we consider f-biminimal integral submanifolds in Sasakian space forms and give an example.

Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2018

Karar verme problemlerinde esnek küme ve bulanık esnek küme kavramları son zamanlarda oldukça pop... more Karar verme problemlerinde esnek küme ve bulanık esnek küme kavramları son zamanlarda oldukça popüler hale gelmiştir. Sigortacılık sektöründe kişinin özelliklerine göre sigorta türünün belirlenmesi de günümüzde bir problem olarak karşımıza çıkmaktadır. Bu çalışmada esnek küme ve bulanık esnek küme kavramları kullanılarak hayat ve hayat dışı sigortaların seçimi problemi ele alınmıştır. Bu problemde sigorta seçimine karar verebilmek için esnek küme ve bulanık esnek küme kavramları kullanılarak iki farklı matematiksel modelleme elde edilmiştir. İlaveten elde edilen bu matematiksel modellemeler dikkate alınarak sigorta seçimine yardımcı olacak bir yapay sinir ağı modeli önerilmiştir. Önerilen matematiksel modellemeler için çeşitli örnekler elde edilmiştir. Sigorta şirketleri kendi gerçek hayat verileri üzerinde bu modellemeleri kullandığında daha kesin sonuçların ortaya çıkacağı öngörülmektedir.

$Research paper thumbnail of On <math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mi>λ</mi></mrow><annotation encoding="application/x-tex">\lambda </annotation></semantics></math>λ-Biminimal Conformal Immersions$

Hacettepe Journal of Mathematics and Statistics, 2021

In the present paper, we consider λ-biminimal conformal immersions. We find the Euler-Lagrange eq... more In the present paper, we consider λ-biminimal conformal immersions. We find the Euler-Lagrange equation of λ-biminimal immersions under conformal change of metrics. We also consider λ-biminimal immersions from a surface (M 2 , g) to a Riemannian manifold (N 3 , h) under homothetic change of metric and give an example.

We consider interpolating sesqui-harmonic Legendre curves in Sasakian space forms. We find the ne... more We consider interpolating sesqui-harmonic Legendre curves in Sasakian space forms. We find the necessary and sufficient conditions for Legendre curves in Sasakian space forms to be interpolating sesqui-harmonic. Finally, we obtain an example for an interpolating sesqui-harmonic Legendre curve in a Sasakian space form.

International Electronic Journal of Geometry

We study f-biharmonic curves in Sol spaces, Cartan-Vranceanu 3-dimensional spaces, homogeneous co... more We study f-biharmonic curves in Sol spaces, Cartan-Vranceanu 3-dimensional spaces, homogeneous contact 3-manifolds and we analyze non-geodesic f-biharmonic curves in these spaces.