Noether's Theorem and the Willmore Functional

Yann Bernard

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Noether's Theorem and the Willmore Functional

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arxiv 1409.6894 v1 pith:WLFD67SN submitted 2014-09-24 math.DG

Noether's Theorem and the Willmore Functional

Yann Bernard This is my paper

classification math.DG

keywords willmorefunctionalnoethertheoremcapovillaconservationconsideredconstraints

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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.

Noether's Theorem and the Willmore Functional

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