TitleThe min-max construction of minimal surfaces.
Publication TypeJournal Article
Year of Publication2003
AuthorsColding T.H, De Lellis C.
Secondary AuthorsYau ST
JournalSurveys in differential geometry, Vol.VIII (Boston MA, 2002)
Pagination75–107
PublisherInternational Press
Place PublishedSomerville, MA
Type of ArticleProceedings GMT
ISSN1052-9233
ISBN Number1-57146-114-0
Keywordsmin-max, minimal submanifolds, varifolds
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.

Notes

Surveys in differential geometry, Vol. VIII (Boston, MA, 2002), 75–107, Int. Press, Somerville, MA, 2003.

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