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The min-max construction of minimal surfaces


Colding, T; De Lellis, C (2003). The min-max construction of minimal surfaces. In: Yau, S T. Surveys in differential geometry, Vol.VIII (Boston MA, 2002). Somerville, MA: International Press, 75-107.

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.

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.

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Additional indexing

Other titles:Lectures on geometry and topology held in honor of E. Calabi, H. Blaine Lawson, Y. T. Siu and Karen Uhlenbeck held at Harvard University, Boston, MA, May 3--5, 2002.
Item Type:Book Section, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Uncontrolled Keywords:min-max, minimal submanifolds, varifolds
Language:English
Date:2003
Deposited On:17 Sep 2010 09:01
Last Modified:19 Feb 2018 21:13
Publisher:International Press
Series Name:Surveys in Differential Geometry
Number:8
ISSN:1052-9233
ISBN:1-57146-114-0
Additional Information:Copyright © International Press. All rights reserved
OA Status:Green
Official URL:http://www.intlpress.com/books/SDG/SDG-VIII.php
Related URLs:http://www.ams.org/mathscinet-getitem?mr=2039986
http://www.zentralblatt-math.org/zbmath/search/?q=an%3A1051.53052

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