1.

Record Nr.

UNINA9910480045803321

Autore

Tomi Friedrich

Titolo

The index theorem for minimal surfaces of higher genus / / F. Tomi, A. J. Tromba

Pubbl/distr/stampa

Providence, Rhode Island : , : American Mathematical Society, , 1995

©1995

ISBN

1-4704-0139-8

Descrizione fisica

1 online resource (90 p.)

Collana

Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 117, Number 560

Altri autori (Persone)

TrombaAnthony

Disciplina

516.3/62

Soggetti

Minimal surfaces

Plateau's problem

Index theorems

Electronic books.

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

"September 1995, Volume 117, Number 560 (third of 5 numbers)."

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

""Contents""; ""Â0 Introduction""; ""Â1 The Differential Geometric Approach to Teichmuller Theory""; ""2 Minimal Surfaces of Higher Genus as Critical Points of Dirichlet's Functional""; ""Â3 Review of Some Basic Results in Riemann Surface Theory""; ""Â4 Vector Bundles over Teichmuller Space""; ""Â5 Minimal Surfaces of Higher Genus as the Zeros of a Vector Field and the Conformality Operators""; ""Â6 The Corank of the Partial Conformality Operators""; ""Â7 The Corank of the Complete Conformality Operators""; ""Â8 Manifolds of Harmonic Surfaces of Prescribed Branching""

""Â9 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""