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research article
Un principe de concentration-compacité pour les suites de surfaces riemanniennes
We study sequences of metrics on a compact surface with bounded area and curvature and I prove that if the conformalstructure of these metrics remains bounded, then either the sequence contains a convergent subsequence, or there exists a point at which a certain amount of positive curvature concentrates. The level of concentration is computed.
Type
research article
Authors
Publication date
1991
Published in
Volume
8
Issue
5
Start page
419
Peer reviewed
REVIEWED
EPFL units
Available on Infoscience
March 17, 2008
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