The min--max construction of minimal surfaces
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.
- Publication:
-
arXiv Mathematics e-prints
- Pub Date:
- March 2003
- DOI:
- 10.48550/arXiv.math/0303305
- arXiv:
- arXiv:math/0303305
- Bibcode:
- 2003math......3305C
- Keywords:
-
- Mathematics - Analysis of PDEs;
- Mathematics - Differential Geometry;
- Mathematics - Geometric Topology;
- 49Q05;
- 53A10;
- 49Q15
- E-Print:
- 42 pages, 13 figures