The min--max construction of minimal surfaces
Analysis of PDEs
2007-05-23 v2 Differential Geometry
Geometric Topology
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.
Cite
@article{arxiv.math/0303305,
title = {The min--max construction of minimal surfaces},
author = {Tobias H. Colding and Camillo De Lellis},
journal= {arXiv preprint arXiv:math/0303305},
year = {2007}
}
Comments
42 pages, 13 figures