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Energy of embedded surfaces invariant under Moebius tranformations, addendum

dg-ga 2008-02-03 v1 Differential Geometry

Abstract

In a previous preprint we defined an energy associated to every embedding of a surface into RnR^n or SnS^n. This energy is invariant under Moebius tranformations and the "round" sphere is its only absolute minimum. Here we sketch a proof of the compactness property for a variant of it. The details will appear elsewhere.

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@article{arxiv.dg-ga/9512006,
  title  = {Energy of embedded surfaces invariant under Moebius tranformations, addendum},
  author = {Stefano Demichelis},
  journal= {arXiv preprint arXiv:dg-ga/9512006},
  year   = {2008}
}

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