Results 41 to 50 of about 412,587 (240)
Non-collapsed spaces with Ricci curvature bounded from below [PDF]
, 2017 We propose a definition of non-collapsed space with Ricci curvature bounded from below and we prove the versions of Colding's volume convergence theorem and of Cheeger-Colding dimension gap estimate for ${\sf RCD}$ spaces. In particular this establishes
G. Philippis, N. Gigli
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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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On projective Ricci curvature of cubic metrics
AIMS MathematicsTo study the projective Ricci curvature (PRic-curvature) in Finsler geometry is interesting because it reflects the geometric properties that are invariant under the projective transformation.
Yanlin Li +3 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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Electronic Research ArchiveWe proved that on every Stiefel manifold $ V_2\mathbb{R}^n\cong \operatorname{SO}(n)/\operatorname{SO}(n-2) $ with $ n\ge 3 $ the normalized Ricci flow preserves the positivity of the Ricci curvature of invariant Riemannian metrics with positive Ricci ...
Nurlan A. Abiev
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Matrix Inequality for the Laplace Equation
, 2017 Since Li and Yau obtained the gradient estimate for the heat equation, related estimates have been extensively studied. With additional curvature assumptions, matrix estimates that generalize such estimates have been discovered for various time-dependent
Park, Jiewon
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Characterizing complex networks with Forman-Ricci curvature and associated geometric flows [PDF]
J. Complex Networks, 2016 We introduce Forman-Ricci curvature and its corresponding flow as characteristics for complex networks attempting to extend the common approach of node-based network analysis by edge-based characteristics.
Melanie Weber, Emil Saucan, J. Jost
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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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Characterizations of Bounded Ricci Curvature on Smooth and NonSmooth Spaces [PDF]
, 2015 There are two primary goals to this paper. In the first part of the paper we study smooth metric measure spaces (M^n,g,e^{-f}dv_g) and give several ways of characterizing bounds -Kg\leq \Ric+\nabla^2f\leq Kg on the Ricci curvature of the manifold.
Naber, Aaron
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