Index Theorem for Minimal Surfaces of Higher Genus.
- 1st ed.
- 1 online resource (90 pages)
- Memoirs of the American Mathematical Society ; v.117 .
- Memoirs of the American Mathematical Society .
Intro -- Contents -- 0 Introduction -- 1 The Differential Geometric Approach to Teichmuller Theory -- 2 Minimal Surfaces of Higher Genus as Critical Points of Dirichlet's Functional -- 3 Review of Some Basic Results in Riemann Surface Theory -- 4 Vector Bundles over Teichmuller Space -- 5 Minimal Surfaces of Higher Genus as the Zeros of a Vector Field and the Conformality Operators -- 6 The Corank of the Partial Conformality Operators -- 7 The Corank of the Complete Conformality Operators -- 8 Manifolds of Harmonic Surfaces of Prescribed Branching -- 9 The Index Theorem -- Appendix I A Supplement to the Boundary Regularity Theorems for Minimal Surfaces -- Appendix II Maximal Ideals in Sobolev Algebras of Holomorphic Functions -- References.
9781470401399
Minimal surfaces. Plateau''s problem. Index theorems.