Tomiche, F.

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.


Electronic books.

QA644 -- .T665 1995eb

516.3/62