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The Willmore conjecture for immersed tori with small curvature integral

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Abstract:

The Willmore conjecture states that any immersion of a 2-torus into euclidean space satisfies . We prove it under the condition that the L p-norm of the Gaussian curvature is sufficiently small.

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  1. Mathematisches Institut, Universität Freiburg, Eckerstr. 1, 79104 Freiburg, Germany. E-mail: ammann@mathematik.uni-freiburg.de, , , , , , DE

    B. Ammann

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  1. B. Ammann
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Received: 10 June 1999

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Ammann, B. The Willmore conjecture for immersed tori with small curvature integral. manuscripta math. 101, 1–22 (2000). https://doi.org/10.1007/s002290050001

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  • DOI: https://doi.org/10.1007/s002290050001

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