Results 51 to 60 of about 1,746,741 (337)
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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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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Cross section of curvature radiation absorption [PDF]
Astronomy & Astrophysics, 2018 When treating the absorption of light, it is instructive to focus on the absorption coefficient related to the probability of photons to survive while traversing a layer of material. From the point of view of particles doing the absorption, however, the elementary interaction of the particle with the photon is best described by the corresponding cross ...
Locatelli, Nicola, Ghisellini, Gabriele
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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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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 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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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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The L-sectional curvature of S-manifolds
, 2013 Ministerio de Economía y ...
AKYOL, Mehmet Akif +2 more
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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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