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.
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.
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.
| 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. |
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| 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: | 24 Sep 2019 16:16 |
| 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 |
Colding, T