Harmonic maps between Riemannian polyhedra

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Harmonic maps between Riemannian polyhedra / J. Eells, B. Fuglede ; with a preface by M. Gromov

資料種別:

図書

出版情報:

Cambridge ; New York : Cambridge University Press, 2001

形態:

xii, 296 p. ; 24 cm

シリーズ名:

Cambridge tracts in mathematics ; 142 <BA00134372>

著者名:

ISBN:

9780521773119 [0521773113]

書誌ID:

BA52727082

子書誌情報

フルテキスト

所蔵情報

他の版・巻

書誌詳細

注記:

Includes bibliographical references and index

主題:

Harmonic maps; Riemannian manifolds

言語:

英語

目次情報:

GromovÃ†s preface

Preface

Introduction / 1：

Domains, Targets, Examples / Part 1：

Harmonic spaces, Dirichlet spaces and geodesic spaces / 2：

Examples of domains and targets / 3：

Riemannian polyhedra / 4：

Potential Theory on Polyhedra / Part 2：

The Sobolev space W1,2(X). Weakly harmonic functions / 5：

Potential theory on Riemannian polyhedra / 7：

Examples of Riemannian polyhedra and related spaces / 8：

Maps between Polyhedra / Part 3：

Energy of maps / 9：

HÃ¶lder continuity of energy minimizers / 10：

Existence of energy minimizers / 11：

Harmonic maps - totally geodesic maps / 12：

Harmonic morphisms / 13：

Energy according to Korevaar-Schoen / 14Appendix A：

Minimizers with small energy decay / 15Appendix B：

Bibliography

Special symbols

Index

GromovÃ†s preface

Preface

Introduction / 1：

Domains, Targets, Examples / Part 1：

Harmonic spaces, Dirichlet spaces and geodesic spaces / 2：

Examples of domains and targets / 3：

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