|
|
|
|
|
|
|
|
1. |
Record Nr. |
UNINA9910821228903321 |
|
|
Autore |
Xin Y. L. <1943-> |
|
|
Titolo |
Minimal submanifolds and related topics / / Yuanlong Xin |
|
|
|
|
|
Pubbl/distr/stampa |
|
|
Singapore ; ; London, : World Scientific, c2003 |
|
|
|
|
|
|
|
ISBN |
|
1-281-87678-X |
9786611876784 |
981-256-438-1 |
|
|
|
|
|
|
|
|
Edizione |
[1st ed.] |
|
|
|
|
|
Descrizione fisica |
|
1 online resource (271 p.) |
|
|
|
|
|
|
Collana |
|
Nankai tracts in mathematics ; ; v. 8 |
|
|
|
|
|
|
Disciplina |
|
|
|
|
|
|
Soggetti |
|
Minimal submanifolds |
Geometry, Riemannian |
|
|
|
|
|
|
|
|
Lingua di pubblicazione |
|
|
|
|
|
|
Formato |
Materiale a stampa |
|
|
|
|
|
Livello bibliografico |
Monografia |
|
|
|
|
|
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. |
|
|
|
|
|
|
|