Yazar "Karaca, Fatma" seçeneğine göre listele

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    f-Biharmonic Integral Submanifolds in Generalized Sasakian Space Forms
    (Univ Nis, Fac Sci Math, 2019) Karaca, Fatma
    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, lambda-Sasakian, Kenmotsu and cosymplectic space forms. Finally, we give also some examples of f-biharmonic integral submanifolds in Sasakian space forms.
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    f-BIHARMONIC SUBMANIFOLDS AND f-BIHARMONIC INTEGRAL SUBMANIFOLDS IN LOCALLY CONFORMAL ALMOST COSYMPLECTIC SPACE FORMS
    (Korean Mathematical Soc, 2022) Aslam, Mohd; Karaca, Fatma; Siddiqui, Aliya Naaz
    In this paper, we have studied f-biharmonic submanifolds in locally conformal almost cosymplectic space forms and have derived condition on second fundamental form for f-biharmonic submanifolds. Also, we have discussed its integral submanifolds in locally conformal almost cosymplectic space forms.
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    f-Biminimal Submanifolds of Generalized Space Forms
    (Ankara University Faculty of Sciences, 2019) Karaca, Fatma
    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 sub- manifolds in Sasakian space forms and give an example.
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    Geometry of almost contact metrics as a *-conformal Ricci-Yamabe solitons and related results
    (World Scientific Publ Co Pte Ltd, 2023) Dey, Santu; Roy, Soumendu; Karaca, Fatma
    The goal of this paper is to study certain types of metric such as *-conformal Ricci-Yamabe soliton (RYS), whose potential vector field is torse-forming on Kenmotsu manifold. Here, we establish the conditions for solitons to be expanding, shrinking or steady and find the scalar curvature when the manifold admits *-conformal RYS on Kenmotsu manifold. Next, we developed the nature of the vector field when the manifold satisfies *-conformal RYS. Also, we have adorned some applications of torse-forming vector field in terms of *-conformal RYS on Kenmotsu manifold. We have also studied infinitesimal CL-transformation and Schouten-van Kampen connection on Kenmotsu manifold, whose metric is *-conformal RYS. We present an example of *-conformal RYS on three-dimensional Kenmotsu manifold, and verify some of our findings.
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    Gradient Ricci Solitons on Multiply Warped Product Manifolds
    (Univ Nis, Fac Sci Math, 2018) Karaca, Fatma; Ozgur, Cihan
    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.
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    Gradient Ricci-harmonic solitons on doubly warped product manifolds
    (Univ Nis, Fac Sci Math, 2023) Karaca, Fatma; Ozgur, Cihan
    We give necessary and sufficient conditions for doubly warped product manifolds to be gradient Ricci-harmonic solitons. We also give a physical application for this kind of solitons.
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    Gradient Ricci-harmonic solitons on multiply warped products
    (World Scientific Publ Co Pte Ltd, 2021) Karaca, Fatma
    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-Nordstrom space-time to be a gradient Ricci-harmonic soliton.
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    Gradient Ricci-Yamabe solitons on warped product manifolds
    (Univ Nis, Fac Sci Math, 2023) Karaca, Fatma
    We give the necessary and sufficient conditions for a gradient Ricci-Yamabe soliton with warped product metric. As physical applications, we consider gradient Ricci-Yamabe solitons on generalized Robertson-Walker space-times and standard static space-times.
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    Gradient Yamabe Solitons on Multiply Warped Product Manifolds
    (Prof.Dr. H.Hilmi Hacısalioğlu, 2019) Karaca, Fatma
    We consider gradient Yamabe solitons on multiply warped product manifolds. We find the necessary and sufficient conditions for multiply warped product manifolds to be gradient Yamabe solitons.
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    Gradient Yamabe Solitons on Multiply Warped Product Manifolds
    (Int Electronic Journal Geometry, 2019) Karaca, Fatma
    We consider gradient Yamabe solitons on multiply warped product manifolds. We find the necessary and sufficient conditions for multiply warped product manifolds to be gradient Yamabe solitons.
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    Gradient Yamabe Solitons on Multiply Warped Product Manifolds
    (2019) Karaca, Fatma
    We consider gradient Yamabe solitons on multiply warped product manifolds. We find thenecessary and sufficient conditions for multiply warped product manifolds to be gradient Yamabesolitons.
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    Multiply warped products with compact Einstein manifolds
    (Taylor & Francis Ltd, 2021) Karaca, Fatma
    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.
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    A Note on Generalized Sasakian Space Forms with Interpolating Sesqui-Harmonic Legendre Curves
    (2020) Karaca, Fatma
    We classify the curvature of interpolating sesqui-harmonic Legendre curves in generalized Sasakian spaceforms. We investigate the necessary and sufficient conditions for these types of curves in nine cases to beinterpolating sesqui-harmonic.
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    On ?-Biminimal Conformal İmmersions
    (Hacettepe Üniversitesi, 2021) Karaca, Fatma; Özgür, Cihan
    In the present paper, we consider lambda-biminimal conformal immersions. We find the Euler-Lagrange equation of lambda-biminimal immersions under conformal change of metrics. We also consider lambda-biminimal immersions from a surface (M-2, g) to a Riemannian manifold (N-3, h) under homothetic change of metric and give an example.
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    On interpolating sesqui-harmonic Legendre curves in Sasakian space forms
    (World Scientific Publ Co Pte Ltd, 2020) Karaca, Fatma; Ozgur, Cihan; De, Uday Chand
    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 a proper example for an interpolating sesqui-harmonic Legendre curve in a Sasakian space form.
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    On Quasi-Einstein Sequential Warped Product Manifolds
    (Elsevier [Commercial Publisher], 2021) Karaca, Fatma; Özgür, Cihan
    We find the necessary and sufficient conditions for a sequential warped product manifold to be a quasi-Einstein manifold. We also investigate the necessary conditions for a sequential standard static space-time and a sequential generalized Robertson-Walker space-time to be a manifold of quasi-constant curvature.
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    On sequential warped product manifolds admitting gradient Ricci-harmonic solitons
    (Iop Publishing Ltd, 2023) Karaca, Fatma; Ozgur, Cihan
    We consider sequential warped product manifolds admitting gradient Ricci-harmonic solitons. We give the main relations for a gradient Ricci-harmonic soliton on sequential warped product manifolds. As physical applications, we consider gradient Ricci-harmonic solitons on sequential generalized Robertson-Walker space-times and sequential standard static space-times.