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.


Published in:
Ann. Inst. H. Poincaré Anal. Non Linéaire, 8, 5, 419--441
Year:
1991
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 Record created 2008-03-17, last modified 2018-03-17

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