The min--max construction of minimal surfaces

Tobias H. Colding; Camillo De Lellis

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The min--max construction of minimal surfaces

Tobias H. Colding·Camillo De Lellis

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Abstract

In this paper we survey with complete proofs some well--known, but hard to find, results about constructing closed embedded minimal surfaces in a closed 3-dimensional manifold via min--max arguments. This includes results of J. Pitts, F. Smith, and L. Simon and F. Smith.

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Tobias H. Colding, Camillo De Lellis. 2003-09-04. The min--max construction of minimal surfaces. https://arxiv.org/abs/math/0303305

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