Noether's Theorem and the Willmore Functional

Noether's theorem and the invariances of the Willmore functional are used to derive conservation laws that are satisfied by the critical points of the Willmore energy subject to generic constraints. We recover in particular previous results independently obtained by R. Capovilla and J. Guven, a...

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Bibliographic Details
Main Author Bernard, Yann
Format Journal Article
LanguageEnglish
Published 24.09.2014
Subjects
Mathematics - Differential Geometry
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Summary:Noether's theorem and the invariances of the Willmore functional are used to derive conservation laws that are satisfied by the critical points of the Willmore energy subject to generic constraints. We recover in particular previous results independently obtained by R. Capovilla and J. Guven, and by T. Riviere. Several examples are considered in details.
DOI:10.48550/arxiv.1409.6894