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Flows of constant mean curvature tori in the 3-sphere: The equivariant case

  • Martin Kilian EMAIL logo , Martin U. Schmidt and Nicholas Schmitt
Published/Copyright: September 5, 2015

Abstract

We present a deformation for constant mean curvature tori in the 3-sphere. We show that the moduli space of equivariant constant mean curvature tori in the 3-sphere is connected, and we classify the minimal, the embedded, and the Alexandrov embedded tori therein.

Received: 2010-12-29
Revised: 2013-6-28
Published Online: 2015-9-5
Published in Print: 2015-10-1

© 2015 by De Gruyter

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