Results 21 to 30 of about 28,343 (263)
Characterization of Holomorphic Bisectional Curvature of GCR-Lightlike Submanifolds
Advances in Mathematical Physics, 2012 We obtain the expressions for sectional curvature, holomorphic sectional curvature, and holomorphic bisectional curvature of a GCR-lightlike submanifold of an indefinite Kaehler manifold.
Sangeet Kumar +2 more
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On the Tachibana numbers of closed manifolds with pinched negative sectional curvature
Дифференциальная геометрия многообразий фигур, 2020 Conformal Killing form is a natural generalization of conformal Killing vector field. These forms were extensively studied by many geometricians. These considerations were motivated by existence of various applications for these forms.
S.E. Stepanov, I. I. Tsyganok
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Curvature Invariants for Statistical Submanifolds of Hessian Manifolds of Constant Hessian Curvature
Mathematics, 2018 We consider statistical submanifolds of Hessian manifolds of constant Hessian curvature. For such submanifolds we establish a Euler inequality and a Chen-Ricci inequality with respect to a sectional curvature of the ambient Hessian manifold.
Adela Mihai, Ion Mihai
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On the differentiable sphere theorem for manifolds with Ricci curvatures bounded from above
Дифференциальная геометрия многообразий фигурIn the present paper, we prove that if is an -dimensional compact Riemannian manifold and if where , and are the sectional and Ricci curvatures of respectively, then is diffeomorphic to a spherical space form where is a finite group of ...
S. E. Stepanov, I. I. Tsyganok
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On the Scalar Curvature and Sectional Curvatures of a Totally Real Submanifold [PDF]
Proceedings of the American Mathematical Society, 1975 For a totally real minimal submanifold of a complex space form, pinching for scalar curvature implies pinching for sectional curvatures.
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The δ(2,2)-Invariant on Statistical Submanifolds in Hessian Manifolds of Constant Hessian Curvature
Entropy, 2020 We establish Chen inequality for the invariant δ ( 2 , 2 ) on statistical submanifolds in Hessian manifolds of constant Hessian curvature. Recently, in co-operation with Chen, we proved a Chen first inequality for such submanifolds.
Adela Mihai, Ion Mihai
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On Sectional Curvatures of (ε)-Sasakian Manifolds
International Journal of Mathematics and Mathematical Sciences, 2007 We obtain some basic results for Riemannian curvature tensor of (ε)-Sasakian manifolds and then establish equivalent relations among φ-sectional curvature, totally real sectional curvature, and totally real bisectional curvature for (ε)-Sasakian ...
Rakesh Kumar +2 more
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Sectional and Ricci Curvature for Three-Dimensional Lie Groups
Journal of Mathematics, 2016 Formulas for the Riemann and Ricci curvature tensors of an invariant metric on a Lie group are determined. The results are applied to a systematic study of the curvature properties of invariant metrics on three-dimensional Lie groups.
Gerard Thompson, Giriraj Bhattarai
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Informational Holonomy Curvature and Its Discrete-to-Continuous Convergence
International Journal of TopologyWe introduce a notion of curvature based on informational holonomy. Let (M,g) be a smooth Riemannian manifold and let π:P→M be a bundle of state spaces equipped fibrewise with a smooth divergence Dx inducing an information metric gPx.
David Gutierrez Ule
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Sectional curvatures of K�hler moduli
Mathematische Annalen, 2004 We investigate a new property for compact Kahler manifolds. Let X be a Kahler manifold of dimension n and let H^{1,1} denote the (1,1) part of its real second cohomology. On this space, we have an degree n form given by cup product. Let K denote the open cone of Kahler classes in H^{1,1}, and K_1 the level set consisting of classes in K on which the n ...
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