

Preprint 29/2003
The min--max construction of minimal surfaces
Tobias H. Colding and Camillo De Lellis
Contact the author: Please use for correspondence this email.
Submission date: 25. Mar. 2003
Pages: 35
published in: Lectures on geometry and topology : lectures on geometry and topology held in honor of Calabi, Lawson, Siu, and Uhlenbeck / S.-T. Yau ... (eds.)
Somerville, MA : Internat. Press, 2003. - P. 75 - 107
(Surveys in differential geometry ; 8)
DOI number (of the published article): 10.4310/SDG.2003.v8.n1.a3
Bibtex
MSC-Numbers: 49Q05, 53A10, 49Q15
Keywords and phrases: min--max, minimal submanifolds, varifolds
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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.