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
Published inarXiv.org
Main Author Bernard, Yann
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 24.09.2014
Subjects
Conservation laws
Critical point
Theorems
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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.
Bibliography:content type line 50
SourceType-Working Papers-1
ObjectType-Working Paper/Pre-Print-1
ISSN:2331-8422