Publication

Un principe de concentration-compacité pour les suites de surfaces riemanniennes

Marc Troyanov
1991
Journal paper

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.

Official source

https://infoscience.epfl.ch/record/118475?ln=en

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Un principe de concentration-compacité pour les suites de surfaces riemanniennes

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