Results 21 to 30 of about 68,661 (83)
Ricci Curvature on Polyhedral Surfaces via Optimal Transportation
Axioms, 2014 The problem of correctly defining geometric objects, such as the curvature, is a hard one in discrete geometry. In 2009, Ollivier defined a notion of curvature applicable to a wide category of measured metric spaces, in particular to graphs.
Benoît Loisel, Pascal Romon
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International Journal of Mathematics and Mathematical Sciences, 2005 We establish inequalities between the Ricci curvature and the squared mean curvature, and also between the k-Ricci curvature and the scalar curvature for a slant, semi-slant, and bi-slant submanifold in a locally conformal almost cosymplectic manifold ...
Dae Won Yoon
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Levi-Civita Ricci-Flat Doubly Warped Product Hermitian Manifolds
Advances in Mathematical Physics, 2022 Let M1,g and M2,h be two Hermitian manifolds. The doubly warped product (abbreviated as DWP) Hermitian manifold of M1,g and M2,h is the product manifold M1×M2 endowed with the warped product Hermitian metric G=f22g+f12h, where f1 and f2 are positive ...
Qihui Ni +3 more
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Local pinching estimates in 3-dim Ricci flow
, 2013 We study curvature pinching estimates of Ricci flow on complete 3- dimensional manifolds without bounded curvature assumption. We will derive some general curvature conditions which are preserved on any complete solution of 3-dim Ricci flow, these ...
Chen, Bing-Long +2 more
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A Review of and Some Results for Ollivier–Ricci Network Curvature
Mathematics, 2020 Characterizing topological properties and anomalous behaviors of higher-dimensional topological spaces via notions of curvatures is by now quite common in mainstream physics and mathematics, and it is therefore natural to try to extend these notions from
Nazanin Azarhooshang +2 more
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Ricci curvature of submanifolds in Kenmotsu space forms
International Journal of Mathematics and Mathematical Sciences, 2002 In 1999, Chen established a sharp relationship between the Ricci curvature and the squared mean curvature for a submanifold in a Riemannian space form with arbitrary codimension.
Kadri Arslan +4 more
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Mean curvature flow in a Ricci flow background
, 2012 Following work of Ecker, we consider a weighted Gibbons-Hawking-York functional on a Riemannian manifold-with-boundary. We compute its variational properties and its time derivative under Perelman's modified Ricci flow.
B. Kleiner +14 more
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A New Transport Distance and Its Associated Ricci Curvature of Hypergraphs
Analysis and Geometry in Metric Spaces, 2022 The coarse Ricci curvature of graphs introduced by Ollivier as well as its modification by Lin–Lu– Yau have been studied from various aspects. In this paper, we propose a new transport distance appropriate for hypergraphs and study a generalization of ...
Akamatsu Tomoya
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An axially symmetric spacetime with causality violation in Ricci-inverse gravity
European Physical Journal C: Particles and Fields, 2023 In this paper, Ricci-inverse gravity is investigated. It is an alternative theory of gravity that introduces into the Einstein–Hilbert action an anti-curvature scalar that is obtained from the anti-curvature tensor which is the inverse of the Ricci ...
J. C. R. de Souza, A. F. Santos
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Kropina Metrics with Isotropic Scalar Curvature
Axioms, 2023 In this paper, we study Kropina metrics with isotropic scalar curvature. First, we obtain the expressions of Ricci curvature tensor and scalar curvature. Then, we characterize the Kropina metrics with isotropic scalar curvature on by tensor analysis.
Liulin Liu, Xiaoling Zhang, Lili Zhao
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