Minimal submanifolds and related topics / / Yuanlong Xin
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| Autore: |
Xin Y. L. <1943->
|
| Titolo: |
Minimal submanifolds and related topics / / Yuanlong Xin
|
| Pubblicazione: | Singapore ; ; London, : World Scientific, c2003 |
| Edizione: | 1st ed. |
| Descrizione fisica: | 1 online resource (271 p.) |
| Disciplina: | 516.36 |
| Soggetto topico: | Minimal submanifolds |
| Geometry, Riemannian | |
| Note generali: | Description based upon print version of record. |
| Nota di bibliografia: | Includes bibliographical references and index. |
| Nota di contenuto: | CONTENTS; PREFACE; CHAPTER I INTRODUCTION; CHAPTER II BERNSTEIN'S THEOREM AND ITS GENERALIZATIONS; CHAPTER III WEIERSTRASS TYPE REPRESENTATIONS; CHAPTER IV PLATEAU'S PROBLEM AND DOUGLAS-RADO SOLUTION; CHAPTER V MINIMAL SUB MANIFOLDS OF HIGHER CO-DIMENSION; CHAPTER VI STABLE MINIMAL HYPER-SURFACES; CHAPTER VII BERNSTEIN TYPE THEOREMS FOR HIGHER CO-DIMENSION; CHAPTER VIII ENTIRE SPACE-LIKE SUB-MANIFOLDS; REFERENCES; INDEX |
| Sommario/riassunto: | The Bernstein problem and the Plateau problem are central topics in the theory of minimal sub-manifolds. This important book presents the Douglas-Rado solution to the Plateau problem, but the main emphasisis on the Bernstein problem and its new developments in various directions: the value distribution of the Gauss image of a minimal surface in Euclidean 3-space, Simons' work for minimal graphic hyper surfaces, and author's own contributions to Bernstein type theorems for higher co-dimension. |
| Titolo autorizzato: | Minimal submanifolds and related topics |
| ISBN: | 1-281-87678-X |
| 9786611876784 | |
| 981-256-438-1 | |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910821228903321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Nankai tracts in mathematics ; ; v. 8.