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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
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