Minimal submanifolds and related topics / Yuanlong Xin.

Format:

Book

Author/Creator:

Xin, Y. L., 1943-

Series:

Nankai tracts in mathematics ; v. 8.

Nankai tracts in mathematics ; v. 8

Language:

English

Subjects (All):

Minimal submanifolds.

Geometry, Riemannian.

Physical Description:

1 online resource (271 p.)

Edition:

1st ed.

Place of Publication:

Singapore ; London : World Scientific, c2003.

Language Note:

English

Summary:

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.

Contents:

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

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

ISBN:

1-281-87678-X

9786611876784

981-256-438-1

OCLC:

123413126