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arxiv: 1112.5820 · v2 · pith:ELZVPWE6new · submitted 2011-12-26 · 🧮 math.MG

Lower bound of coarse Ricci curvature on metric measure spaces and eigenvalues of Laplacian

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keywords boundcoarsecurvaturelowerriccieigenvalueslaplacianbishop-gromov
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We prove that a Bishop-Gromov inequality gives a lower bound of coarse Ricci curvature. We also have an estimate of the eigenvalues of the Laplacian by a lower bound of coarse Ricci curvature.

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