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

Martin Kilian; Martin U. Schmidt; Nicholas Schmitt

doi:10.1515/crelle-2013-0079

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

Martin Kilian
, Martin U. Schmidt
, Nicholas Schmitt

School of Mathematical Sciences

University of Mannheim
University of Tübingen

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	45-86
Number of pages	42
Journal	Journal fur die Reine und Angewandte Mathematik
Volume	2015
Issue number	707
DOIs	https://doi.org/10.1515/crelle-2013-0079
Publication status	Published - 1 Oct 2015

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https://hdl.handle.net/10468/15094Licence: CC BY-NC-ND

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title = "Flows of constant mean curvature tori in the 3-sphere: The equivariant case",

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.",

author = "Martin Kilian and Schmidt, \{Martin U.\} and Nicholas Schmitt",

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T2 - The equivariant case

AU - Kilian, Martin

AU - Schmidt, Martin U.

AU - Schmitt, Nicholas

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N2 - 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.

AB - 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.

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DO - 10.1515/crelle-2013-0079

M3 - Article

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SN - 0075-4102

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JO - Journal fur die Reine und Angewandte Mathematik

JF - Journal fur die Reine und Angewandte Mathematik

IS - 707

ER -

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

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