Some new results on eigenvectors via dimension, diameter, and Ricci curvature

We generalise for a general symmetric elliptic operator the different notions of dimension, diameter, and Ricci curvature, which coincide with the usual notions in the case of the Laplace-Beltrami operators on Riemannian manifolds. If λ 1 denotes the spectral gap, that is the...

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Bibliographic Details
Main Authors: Bakry, D, Qian, Z
Format: Journal article
Language:English
Published: 2000