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

By: Tomi, FriedrichContributor(s): Tromba, AnthonyMaterial type: TextTextSeries: Memoirs of the American Mathematical Society ; v. 560Publication details: Providence, RI. : American Mathematical Society, c1995Description: 1 online resource (vi, 78 p. : ill.)ISBN: 9781470401399 (online)Subject(s): Minimal surfaces | Plateau's problem | Index theoremsAdditional physical formats: index theorem for minimal surfaces of higher genus /DDC classification: 510 s | 516.3/62 LOC classification: QA3 | .A57 no. 560 | QA644Online resources: Contents | Contents
Contents:
0. Introduction 1. The differential geometric approach to Teichm�uller 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 Teichm�uller 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 type 9. The index theorem Appendix I Appendix II
Item type: E-BOOKS
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"September 1995, volume 117, number 560 (third of 5 numbers)."

Includes bibliographical references (p. 77-78).

0. Introduction 1. The differential geometric approach to Teichm�uller 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 Teichm�uller 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 type 9. The index theorem Appendix I Appendix II

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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

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