# The min-max construction of minimal surfaces

Colding, T; De Lellis, C (2003). The min-max construction of minimal surfaces. In: Yau, S T. Surveys in differential geometry, Vol.VIII (Boston MA, 2002). Somerville, MA: International Press, 75-107.

## 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.

## 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.