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

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

2011-12-26

arxiv.org/abs/1112.5820v1

Mathematics

Metric Geometry

9 pages, with 2 figures

Scientific paper

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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