Energy quantization for Willmore surfaces and applications

Bernard, Yann and Riviere, Tristan (2014) Energy quantization for Willmore surfaces and applications. ANNALS OF MATHEMATICS, 180 (1). pp. 87-136. ISSN 0003-486X, 1939-8980

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Abstract

We prove a bubble-neck decomposition together with an energy quantization result for sequences of Willmore surfaces into R-m with uniformly bounded energy and nondegenerating conformal type. We deduce the strong compactnes of Willmore closed surfaces of a given genus modulo the Mobius group action, below some energy threshold.

Item Type: Article
Uncontrolled Keywords: REMOVABILITY; IMMERSIONS; EXISTENCE;
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 17 Oct 2019 12:56
Last Modified: 17 Oct 2019 12:56
URI: https://pred.uni-regensburg.de/id/eprint/10003

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