Curvature Identities for Generalized Kenmotsu Manifolds [PDF]
E3S Web of Conferences, 2021 In the present paper we obtained 2 identities, which are satisfied by Riemann curvature tensor of generalized Kenmotsu manifolds. There was obtained an analytic expression for third structure tensor or tensor of f-holomorphic sectional curvature of GK ...
Ahmad Abu-Saleem +2 more
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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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The Geometry of the Generalized Gamma Manifold and an Application to Medical Imaging
Mathematics, 2019 The Fisher information metric provides a smooth family of probability measures with a Riemannian manifold structure, which is an object in information geometry.
Sana Rebbah +2 more
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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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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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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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Positive biorthogonal curvature on S^2 x S^2
, 2013 We prove that S^2 x S^2 satisfies an intermediate condition between having metrics with positive Ricci and positive sectional curvature. Namely, there exist metrics for which the average of the sectional curvatures of any two planes tangent at the same ...
Bettiol, Renato G.
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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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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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