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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The L-sectional curvature of S-manifolds
, 2013 Ministerio de Economía y ...
AKYOL, Mehmet Akif +2 more
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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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Theorems of existence and uniqueness for pointwise-slant immersions in Kenmotsu space forms
AIMS MathematicsThe present paper aims to demonstrate the theorems of existence and uniqueness for pointwise slant immersions in Kenmotsu space forms. Some substantial results are given in this direction.
Noura Alhouiti
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K\"ahler manifolds with negative holomorphic sectional curvature, K\"ahler-Ricci flow approach. [PDF]
, 2016 Recently, Wu-Yau and Tosatti-Yang established the connection between the negativity of holomorphic sectional curvatures and the positivity of canonical bundles for compact K\"ahler manifolds.
Ryo Nomura
semanticscholar +1 more source
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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Existence of immersed spheres minimizing curvature functionals in compact 3-manifolds
, 2011 We study curvature functionals for immersed 2-spheres in a compact, three-dimensional Riemannian manifold M. Under the assumption that the sectional curvature of M is strictly positive, we prove the existence of a smoothly immersed sphere minimizing the ...
A Mondino +13 more
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An estimate of sectional curvatures of hypersurfaces with positive Ricci curvatures [PDF]
Proceedings of the Edinburgh Mathematical Society, 1995 Let M be a hypersurface in Euclidean space and let the Ricci curvature of M be bounded below by some nonnegative constant. In this paper, we estimate the sectional curvature of M in terms of the lower bound of Ricci curvature and the upper bound of mean curvature.
Ju Seon Kim, Sang Og Kim
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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 ...
P. M. H. Wilson, P. M. H. Wilson
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