| eBook ISBN: | 978-1-4704-0072-9 |
| Product Code: | MEMO/104/495.E |
| List Price: | $30.00 |
| MAA Member Price: | $27.00 |
| AMS Member Price: | $18.00 |
| eBook ISBN: | 978-1-4704-0072-9 |
| Product Code: | MEMO/104/495.E |
| List Price: | $30.00 |
| MAA Member Price: | $27.00 |
| AMS Member Price: | $18.00 |
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Book DetailsMemoirs of the American Mathematical SocietyVolume: 104; 1993; 50 ppMSC: Primary 49; 53; 58
This monograph studies the structure of the set of all coboundary minimal surfaces in Riemannian manifolds. The authors establish, on a solid analytical foundation, a flexible topological index theory which proves useful for the study of minimal surfaces. One of the highlights of the work is the result that for every Jordan curve on the standard \(n\)-sphere, there exist at least two minimal surfaces bounded by the curve.
ReadershipResearch mathematicians.
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Table of Contents
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Chapters
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Introduction
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0. Preliminaries
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1. Compactness and regularity
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2. A priori estimates
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3. Conformality and deformation lemmas for $E$
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4. Mountain-pass-solution
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5. A minimax principle
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This monograph studies the structure of the set of all coboundary minimal surfaces in Riemannian manifolds. The authors establish, on a solid analytical foundation, a flexible topological index theory which proves useful for the study of minimal surfaces. One of the highlights of the work is the result that for every Jordan curve on the standard \(n\)-sphere, there exist at least two minimal surfaces bounded by the curve.
Research mathematicians.
-
Chapters
-
Introduction
-
0. Preliminaries
-
1. Compactness and regularity
-
2. A priori estimates
-
3. Conformality and deformation lemmas for $E$
-
4. Mountain-pass-solution
-
5. A minimax principle
