Results 1 to 10 of about 1,590,823 (348)
Curvature Invariants of Statistical Submanifolds in Kenmotsu Statistical Manifolds of Constant ϕ-Sectional Curvature [PDF]
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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Holomorphic Sectional Curvature of Complex Finsler Manifolds. [PDF]
In this paper, we get an inequality in terms of holomorphic sectional curvature of complex Finsler metrics. As applications, we prove a Schwarz Lemma from a complete Riemannian manifold to a complex Finsler manifold.
Wan X.
europepmc +3 more sources
On the sectional curvature of lightlike submanifolds [PDF]
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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Sectional curvature and Weitzenbock formulae [PDF]
We establish a new algebraic characterization of sectional curvature bounds $\sec\geq k$ and $\sec\leq k$ using only curvature terms in the Weitzenbock formulae for symmetric $p$-tensors. By introducing a symmetric analogue of the Kulkarni-Nomizu product,
R. G. Bettiol, R. Mendes
semanticscholar +4 more sources
On the Sectional Curvature of Compact Hypersurfaces [PDF]
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
openalex +3 more sources
Chern-Ricci curvatures, holomorphic sectional curvature and Hermitian metrics [PDF]
We present some formulae related to the Chern-Ricci curvatures and scalar curvatures of special Hermitian metrics. We prove that a compact locally conformal Kähler manifold with constant nonpositive holomorphic sectional curvature is Kähler. We also give
Haojie Chen, Lin Chen, Xiaolan Nie
semanticscholar +5 more sources
A sectional curvature for statistical structures [PDF]
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B. Opozda
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Sectional Curvature in Riemannian Manifolds
The metric structure on a Riemannian or pseudo-Riemannian manifold is entirely determined by its metric tensor, which has a matrix representation in any given chart.
B. Healy+2 more
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Remarks on symplectic sectional curvature [PDF]
In [11], I. M. Gelfand, V. Retakh, and M. Shubin defined the symplectic sectional curvature of a torsion-free connection preserving a symplectic form. The present article defines the corresponding notion of constant symplectic sectional curvature and characterizes this notion in terms of the curvature tensor of the symplectic connection and its ...
Daniel J. F. Fox
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Positive weighted sectional curvature [PDF]
In this paper, we give a new generalization of positive sectional curvature called positive weighted sectional curvature. It depends on a choice of Riemannian metric and a smooth vector field.
Lee Kennard, W. Wylie
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