Results 141 to 150 of about 403,737 (164)
Inequalities on the Ricci curvature [PDF]
Journal of Mathematical Inequalities, 2015 openaire +2 more sources
Aspects of Prescribing Ricci Curvature [PDF]
Advanced Studies in Pure Mathematics, 2018 DeTurck, Dennis, Goldschmidt, Hubert
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Jacobi tensors and Ricci curvature
Mathematische Annalen, 1980 O'Sullivan, John J. +1 more
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Vector fields and Ricci curvature [PDF]
Bulletin of the American Mathematical Society, 1946 openaire +2 more sources
The equation of prescribed Ricci curvature [PDF]
Bulletin of the American Mathematical Society, 1980 openaire +2 more sources
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Springer Monographs in Mathematics, 2021
In Part I, we saw that the natural notions of Finsler curvatures (the flag and Ricci curvatures) can be introduced through the behavior of geodesics, and then several comparison theorems follow smoothly by similar arguments to the Riemannian case, or through the characterizations of these curvatures from the Riemannian geometric point of view.
Shin-ichi Ohta
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In Part I, we saw that the natural notions of Finsler curvatures (the flag and Ricci curvatures) can be introduced through the behavior of geodesics, and then several comparison theorems follow smoothly by similar arguments to the Riemannian case, or through the characterizations of these curvatures from the Riemannian geometric point of view.
Shin-ichi Ohta
openaire +3 more sources
Journal of Chemical Information and Modeling, 2021
Efficient molecular featurization is one of the major issues for machine learning models in drug design. Here, we propose a persistent Ricci curvature (PRC), in particular, Ollivier PRC (OPRC), for the molecular featurization and feature engineering, for
Junjie Wee, Kelin Xia
semanticscholar +1 more source
Efficient molecular featurization is one of the major issues for machine learning models in drug design. Here, we propose a persistent Ricci curvature (PRC), in particular, Ollivier PRC (OPRC), for the molecular featurization and feature engineering, for
Junjie Wee, Kelin Xia
semanticscholar +1 more source
Complete Logarithmic Sobolev inequality via Ricci curvature bounded below II
Journal of Topology and Analysis (JTA), 2021We study the “geometric Ricci curvature lower bound”, introduced previously by Junge, Li and LaRacuente, for a variety of examples including group von Neumann algebras, free orthogonal quantum groups [Formula: see text], [Formula: see text]-deformed ...
Michael Brannan, Li Gao, M. Junge
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Sharp isoperimetric and Sobolev inequalities in spaces with nonnegative Ricci curvature
Mathematische Annalen, 2020By using optimal mass transport theory we prove a sharp isoperimetric inequality in $${\textsf {CD}} (0,N)$$ CD ( 0 , N ) metric measure spaces assuming an asymptotic volume growth at infinity.
Z. Balogh, Alexandru Krist'aly
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On The Ricci Curvature of a Compact Kahler Manifold and the Complex Monge-Ampere Equation, I*
, 1978Therefore a necessary condition for a (1,l) form ( G I a ' r r ) I,,, Rlr dz' A d? to be the Ricci form of some Kahler metric is that it must be closed and its cohomology class must represent the first Chern class of M.
S. Yau
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