Results 21 to 30 of about 283,922 (217)
On the Geometry of Three-dimensional Pseudo-Riemannian Homogeneous Spaces. I [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2020 The problem of establishing links between the curvature and the topological structure of a manifold is one of the important problems of geometry. In general, the purpose of the research of manifolds of various types is rather complicated.
Natal’ya Pavlovna Mozhey
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Ricci curvature and minimal submanifolds [PDF]
Pacific Journal of Mathematics, 2001 This paper studies isometric minimal immersions \(f\) of a complete orientable Riemannian \(n\)-manifold \(M\) into the round sphere \(S^{n+k}\). Theorem A: If \(k=1\), then the supremum of Ric\((M)\) is \(\geq n-2\). Moreover, if the supremum equals \(n-2\), then if \(n\) is odd, the universal cover of \(M\) is homomorphic to \(S^n\), and if \(n\) is ...
Hasanis, T., Vlachos, T.
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∗-Ricci Tensor on α-Cosymplectic Manifolds
Advances in Mathematical Physics, 2022 In this paper, we study α-cosymplectic manifold M admitting ∗-Ricci tensor. First, it is shown that a ∗-Ricci semisymmetric manifold M is ∗-Ricci flat and a ϕ-conformally flat manifold M is an η-Einstein manifold. Furthermore, the ∗-Weyl curvature tensor
M. R. Amruthalakshmi +3 more
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On the Geometry of Three-dimensional Pseudo-Riemannian Homogeneous Spaces. II [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2020 The problem of establishing links between the curvature and the topological structure of a manifold is one of the important problems of the geometry. In general, the purpose of the research of manifolds of various types is rather complicated.
Mozhey, Natal’ya Pavlovna
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The curvature of gradient Ricci solitons [PDF]
Mathematical Research Letters, 2011 We study integral and pointwise bounds on the curvature of gradient shrinking Ricci solitons. As applications we discuss gap and compactness results for gradient shrinkers.
Munteanu, Ovidiu, Wang, Mu-Tao
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A Note on the Geometry of RW Space-Times
Mathematics, 2023 A conformally flat GRW space-time is a perfect fluid RW space-time. In this note, we investigated the influence of many differential curvature conditions, such as the existence of recurrent and semi-symmetric curvature tensors.
Sameh Shenawy +2 more
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Graph Ricci curvatures reveal atypical functional connectivity in autism spectrum disorder
Scientific Reports, 2022 While standard graph-theoretic measures have been widely used to characterize atypical resting-state functional connectivity in autism spectrum disorder (ASD), geometry-inspired network measures have not been applied. In this study, we apply Forman–Ricci
Pavithra Elumalai +5 more
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Ricci curvature and orientability [PDF]
Calculus of Variations and Partial Differential Equations, 2017 49 pages.
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The volume entropy of a surface decreases along the Ricci flow [PDF]
, 2004 The volume entropy, h(g), of a compact Riemannian manifold (M,g) measures the growth rate of the volume of a ball of radius R in its universal cover.
Manning, Anthony, ANTHONY MANNING
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Introducing quantum Ricci curvature [PDF]
Physical Review D, 2018 43 pages, 27 ...
Klitgaard, N.F. +3 more
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