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Curvature Invariants of Statistical Submanifolds in Kenmotsu Statistical Manifolds of Constant ϕ-Sectional Curvature [PDF]
Entropy, 2018 In this article, we consider statistical submanifolds of Kenmotsu statistical manifolds of constant ϕ-sectional curvature. For such submanifold, we investigate curvature properties. We establish some inequalities involving the normalized δ-Casorati
Simona Decu +3 more
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A sectional curvature for statistical structures [PDF]
Linear Algebra and its Applications, 2015 A new type of sectional curvature is introduced. The notion is purely algebraic and can be located in linear algebra as well as in differential geometry.Comment: 19 ...
Opozda, Barbara
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Four-manifolds of Pinched Sectional Curvature [PDF]
Pacific Journal of Mathematics, 2019 In this paper, we study closed four-dimensional manifolds. In particular, we show that under various new pinching curvature conditions (for example, the sectional curvature is no more than 5/6 of the smallest Ricci eigenvalue) then the manifold is ...
Cao, Xiaodong, Tran, Hung
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On the Sectional Curvature of Compact Hypersurfaces [PDF]
Proceedings of the American Mathematical Society, 1990 We establish a sufficient condition for compact hypersurfaces of a complete riemannian manifold to be spherical. It is well known, from the works of Jacobowitz, Jorge and Koutroufiotis, and others, that the maximum sectional curvature of such hypersurfaces can be estimated from the curvature of the ambient space and the outer radius.
Leslie Coghlan, Yoe Itokawa
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On the sectional curvature of lightlike submanifolds [PDF]
Journal of Inequalities and Applications, 2016 The main purpose of this paper is to show how to obtain rigidity theorems with the help of curvature invariants in submanifolds of a semi-Riemannian manifold.
Erol Kılıç, Mehmet Gülbahar
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Group-quotients with positive sectional curvatures [PDF]
Proceedings of the American Mathematical Society, 1977 Let H be a closed subgroup of compact Lie group G. A necessary and sufficient condition is obtained for the existence of a left-invariant Riemannian metric on G such that the subduced metric on the quotient H G has strictly positive sectional curvatures.
Robert Geroch
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SECTIONAL CURVATURES OF GRASSMANN MANIFOLDS [PDF]
Proceedings of the National Academy of Sciences, 1968 Yung-Chow Wong
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On the higher order sectional curvatures [PDF]
Illinois Journal of Mathematics, 1975 A. M. Naveira
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SECTIONAL CURVATURE DUCTILTY OF REINFORECD CONCRETE COLUMNS UNDER LARGE INELASTIC DEFORMATION
Journal of Engineering, 2008 A mathematical model is developed to express stress-strain relationship of normal-strength concrete confined by transverse reinforcement. The sectional ductility analysis on rectangular reinforced concrete columns is performed under axial load ...
Raad K. Al-Azzawi
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Curvature Pinching Problems for Compact Pseudo-Umbilical PMC Submanifolds in
Mathematics, 2023 Let Sm(c) denote a sphere with a positive constant curvature c and Mn(n≥3) be an n-dimensional compact pseudo-umbilical submanifold in a Riemannian product space Sm(c)×R with a nonzero parallel mean curvature vector (PMC), where R is a Euclidean line. In
Wang-Hua Qiu, Xin Zhan
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