Search

MiS Preprint Repository

Delve into the future of research at MiS with our preprint repository. Our scientists are making groundbreaking discoveries and sharing their latest findings before they are published. Explore repository to stay up-to-date on the newest developments and breakthroughs.

MiS Preprint
29/2003

The min--max construction of minimal surfaces

Tobias H. Colding and Camillo De Lellis

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.

Received:
25.03.2003
Published:
25.03.2003
MSC Codes:
49Q05, 53A10, 49Q15
Keywords:
min--max, minimal submanifolds, varifolds

Related publications

inBook
2003 Repository Open Access
Tobias H. Colding and Camillo De Lellis

The min-max construction of minimal surfaces

In: Lectures on geometry and topology : lectures on geometry and topology held in honor of Calabi, Lawson, Siu, and Uhlenbeck / Shing-Tung Yau... (eds.)
Somerville, MA : Internat. Press, 2003. - pp. 75-107
(Surveys in differential geometry ; 8)