Un principe de concentration-compacité pour les suites de surfaces riemanniennes
1991
Abstract
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.
Details
Title
Un principe de concentration-compacité pour les suites de surfaces riemanniennes
Author(s)
Troyanov, Marc
Published in
Ann. Inst. H. Poincaré Anal. Non Linéaire
Volume
8
Issue
5
Pages
419--441
Date
1991
Additional link
URL
Laboratories
GR-TR
Record Appears in
Scientific production and competences > SB - School of Basic Sciences > MATH - Institute of Mathematics > GR-TR - Troyanov Group
Scientific production and competences > SB - School of Basic Sciences > Mathematics
Peer-reviewed publications
Work outside EPFL
Journal Articles
Published
Scientific production and competences > SB - School of Basic Sciences > Mathematics
Peer-reviewed publications
Work outside EPFL
Journal Articles
Published
Record creation date
2008-03-17