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The Willmore functional

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Topics in Modern Regularity Theory

Part of the book series: CRM Series ((CRMSNS,volume 13))

Abstract

For an immersed closed surface f: ∑ → ℝn the Willmore functional is defined by

$$W\left( f \right) = \frac{1}{4}\int\limits_\Sigma {{{\left| {\overrightarrow H } \right|}^2}} d{\mu _g}.$$

E. Kuwert and R. Schätzle were supported by the DFG Sonderforschungsbereich TR 71 Freiburg — Tübingen.

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Authors and Affiliations

  1. Mathematisches Intitut, Albert-Ludwigs-Universität Freiburg, Eckerstraße 1, D-79104, Freiburg, Germany

    Ernst Kuwert

  2. Mathematisches Institut, Eberhard-Karls-Universität Tübingen, Auf der Morgenstelle 10, D-72076, Tübingen, Germany

    Reiner Schätzle

Authors
  1. Ernst Kuwert
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  2. Reiner Schätzle
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Giuseppe Mingione

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Kuwert, E., Schätzle, R. (2012). The Willmore functional. In: Mingione, G. (eds) Topics in Modern Regularity Theory. CRM Series, vol 13. Edizioni della Normale. https://doi.org/10.1007/978-88-7642-427-4_1

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