Results 31 to 40 of about 118 (95)
Advances in Mathematical Physics, Volume 2021, Issue 1, 2021., 2021 The purpose of the present paper is to study the applications of Ricci curvature inequalities of warped product semi‐invariant product submanifolds in terms of some differential equations. More precisely, by analyzing Bochner’s formula on these inequalities, we demonstrate that, under certain conditions, the base of these submanifolds is isometric to ...
Ibrahim Al-Dayel, Meraj Ali Khan
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A Study of Generalized Projective P−Curvature Tensor on Warped Product Manifolds
Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021 The main aim of this study is to investigate the effects of the P−curvature flatness, P−divergence‐free characteristic, and P−symmetry of a warped product manifold on its base and fiber (factor) manifolds. It is proved that the base and the fiber manifolds of the P−curvature flat warped manifold are Einstein manifold.
Uday Chand De +4 more
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Certain Curvature Conditions on Kenmotsu Manifolds and 🟉-η-Ricci Solitons
Axioms, 2023 The present paper deals with the investigations of a Kenmotsu manifold satisfying certain curvature conditions endowed with 🟉-η-Ricci solitons. First we find some necessary conditions for such a manifold to be φ-Einstein. Then, we study the notion of 🟉-η-
Halil İbrahim Yoldaş +2 more
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Quasi-Concircular Curvature Tensor on Generalized Sasakian Space-Forms
Turkish Journal of Mathematics and Computer Science, 2023 The object of the present paper is to study Quasi-concircularly flat and $\phi-$quasi-concircularly flat generalized Sasakian-space-forms. Also, we consider generalized Sasakian-space-forms satisfying the condition $P(\xi, X).\widetilde{V}=0,\ \widetilde{V}(\xi, X).P=0, \ $ and $\widetilde{V}(\xi, X).\widetilde{V}=0$ and we obtain some important ...
Rana Pratap Singh YADAV, Bhagwat PRASAD
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Deszcz Pseudo Symmetry Type LP-Sasakian Manifolds
Annals of the West University of Timisoara: Mathematics and Computer Science, 2016 Recently the present authors introduced the notion of generalized quasi-conformal curvature tensor which bridges Conformal curvature tensor, Concircular curvature tensor, Projective curvature tensor and Conharmonic curvature tensor.
Baishya Kanak Kanti +1 more
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Generalized Quasi-Einstein Manifolds in Contact Geometry
Mathematics, 2020 In this study, we investigate generalized quasi-Einstein normal metric contact pair manifolds. Initially, we deal with the elementary properties and existence of generalized quasi-Einstein normal metric contact pair manifolds.
İnan Ünal
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Some Properties of Generalized Einstein Tensor for a Pseudo‐Ricci Symmetric Manifold
Advances in Mathematical Physics, Volume 2020, Issue 1, 2020., 2020 The object of the paper is to study some properties of the generalized Einstein tensor G(X, Y) which is recurrent and birecurrent on pseudo‐Ricci symmetric manifolds (PRS)n. Considering the generalized Einstein tensor G(X, Y) as birecurrent but not recurrent, we state some theorems on the necessary and sufficient conditions for the birecurrency tensor ...
S. Aynur Uysal +2 more
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Some Curvature Conditions on a Para-Sasakian Manifold with Canonical Paracontact Connection
International Journal of Mathematics and Mathematical Sciences, 2012 We study canonical paracontact connection on a para-Sasakian manifold. We prove that a Ricci-flat para-Sasakian manifold with respect to canonical paracontact connection is an η-Einstein manifold.
Bilal Eftal Acet +2 more
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Variational problems of normal curvature tensor and concircular scalar fields [PDF]
Tohoku Mathematical Journal, 2003 It is well known that, for a submanifold \(M^m\) in a space form \(\tilde M(c)\), the normal curvature tensor \(R^\perp\) is invariant under conformal transformations of the ambient space. Therefore, the functional \({\mathcal R}^\perp_q[\phi]=\int_M \| R^\perp\| ^qdv\), defined on the space of immersions \(\phi\colon M^m\to \tilde M(c)\), is a ...
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Kenmotsu Manifolds with Conservative Conformal Concircular and Conharmonic Curvature Tensors
Mapana - Journal of Sciences, 2004 We study the geometry of Kenmotsu manifolds when the conformal, con circular and con harmonic curvature tensors are conservative.
N. B. Gatti, C. S. Bagewadi
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