SPECTRAL CONVERGENCE OF RIEMANNIAN-MANIFOLDS

Authors
Citation
A. Kasue et H. Kumura, SPECTRAL CONVERGENCE OF RIEMANNIAN-MANIFOLDS, Tohoku Mathematical Journal, 46(2), 1994, pp. 147-179
Citations number
21
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
ISSN journal
00408735
Volume
46
Issue
2
Year of publication
1994
Pages
147 - 179
Database
ISI
SICI code
0040-8735(1994)46:2<147:SCOR>2.0.ZU;2-H
Abstract
We introduce a spectral distance on the set of compact Riemannian mani folds, making use of their heat kernels, and show some basic propertie s of the distance on a class of compact Riemannian manifolds with diam eters uniformly bounded from above and Ricci curvatures uniformly boun ded from below.