Inequalities for the Casorati Curvature of Totally Real Spacelike Submanifolds in Statistical Manifolds of Type Para-Kähler Space Forms [PDF]
Entropy, 2021 The purpose of this article is to establish some inequalities concerning the normalized δ-Casorati curvatures (extrinsic invariants) and the scalar curvature (intrinsic invariant) of totally real spacelike submanifolds in statistical manifolds of the ...
Gabriel-Eduard Vilcu +2 more
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Inequalities for the Casorati Curvature of Statistical Manifolds in Holomorphic Statistical Manifolds of Constant Holomorphic Curvature [PDF]
Mathematics, 2020 In this paper, we prove some inequalities in terms of the normalized δ -Casorati curvatures (extrinsic invariants) and the scalar curvature (intrinsic invariant) of statistical submanifolds in holomorphic statistical manifolds with constant ...
Stefan Haesen, Simona Decu
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Inequalities on Sasakian Statistical Manifolds in Terms of Casorati Curvatures [PDF]
Mathematics, 2018 A statistical structure is considered as a generalization of a pair of a Riemannian metric and its Levi-Civita connection. With a pair of conjugate connections ∇ and ∇ * in the Sasakian statistical structure, we provide the ...
Jae Won Lee, Chul Woo Lee, Jae Lee
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Optimal Inequalities Involving Casorati Curvatures for Riemannian Maps to Nearly Kaehler Manifolds
Journal of Inequalities and ApplicationsWe establish a general inequality and optimal inequalities involving the normalized Casorati curvatures and the generalized normalized Casorati curvatures within the horizontal space of a Riemannian map from a Riemannian manifold to a nearly Kaehler ...
Rachna Rani, Tanveer Fatima
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Axioms, 2023 In the present article, we consider submanifolds in golden Riemannian manifolds with constant golden sectional curvature. On such submanifolds, we prove geometric inequalities for the Casorati curvatures.
Majid Ali Choudhary, Ion Mihai
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Inequalities for the Casorati Curvatures of Slant Submanifolds in Quaternionic Space Forms [PDF]
Journal of Inequalities and Applications, 2014 Abstract In this paper we prove two sharp inequalities that relate the normalized scalar curvature with the Casorati curvature for a slant submanifold in a quaternionic space form. Moreover, we show that in both cases, the equality at all points characterizes the invariantly quasi-umbilical submanifolds.
Gabriel-Eduard Vilcu +2 more
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Inequalities for Casorati Curvatures of Submanifolds in Real Space Forms [PDF]
Advances in Geometry, 2016 Abstract Using Oprea’s optimization methods on submanifolds, we give another proof of the inequalities relating the normalized δ-Casoraticurvature δ ^
Zhang, Pan, Zhang, Liang
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Inequalities for the Casorati Curvatures of Real Hypersurfaces in Some Grassmannians
Taiwanese Journal of Mathematics, 2018 In this paper we obtain two types of optimal inequalities consisting of the normalized scalar curvature and the generalized normalized $δ$-Casorati curvatures for real hypersurfaces of complex two-plane Grassmannians and complex hyperbolic two-plane Grassmannians. We also find the conditions on which the equalities hold.
Kwang-Soon Park
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Curvature Bounds and Casorati Pinching for Submanifolds in Kähler Product Manifolds
AxiomsIn this paper, we establish sharp pinching inequalities that relate the generalized δ-Casorati curvatures to the normalized scalar curvature of submanifolds immersed in Kähler product manifolds endowed with a quarter-symmetric metric connection.
Md Aquib +3 more
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Remarks on Inequalities for the Casorati Curvatures of Slant Submanifolds in Quaternionic Space Forms [PDF]
Journal of Inequalities and Applications, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhang, Pan, Zhang, Liang
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