Willmore minmax surfaces and the cost of the sphere eversion

  • Tristan Rivière

    ETH Zürich, Switzerland
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Abstract

We develop a general minmax procedure in Euclidian spaces for constructing Willmore surfaces of non-zero indices. We apply this procedure to the Willmore minmax sphere eversion in the 3-dimensional Euclidian space. We compute the cost of sphere eversion in terms of Willmore energies of the Willmore spheres in R3\mathbb R^3.

Cite this article

Tristan Rivière, Willmore minmax surfaces and the cost of the sphere eversion. J. Eur. Math. Soc. 23 (2021), no. 2, pp. 349–423

DOI 10.4171/JEMS/1013