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Minimal Submanifolds And Related Topics : Nankai Tracts in Mathematics - Yuanlong Xin

Minimal Submanifolds And Related Topics

Nankai Tracts in Mathematics

Hardcover Published: 16th December 2003
ISBN: 9789812386878
Number Of Pages: 272

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The Bernstein problem and the Plateau problem are central topics in the theory of minimal submanifolds. This important book presents the Douglas-Rado solution to the Plateau problem, but the main emphasis is 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 hypersurfaces, and author's own contributions to Bernstein type theorems for higher codimensions. The author also introduces some related topics, such as submanifolds with parallel mean curvature, Weierstrass type representation for surfaces of mean curvature 1 in hyperbolic 3-space, and special Lagrangian submanifolds.

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.,." important book for students who are familiar with the fundamentals of Riemannian geometry ..."

Introductionp. 1
Bernstein's Theorem and Its Generalizationsp. 39
Weierstrass Type Representationsp. 73
Plateau's Problem and Douglas-Rado Solutionp. 97
Minimal Submanifolds of Higher Codimensionp. 113
Stable Minimal Hypersurfacesp. 143
Bernstein Type Theorems for Higher Codimensionp. 187
Entire Space-Like Submanifoldsp. 221
Referencesp. 251
Indexp. 259
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9789812386878
ISBN-10: 9812386874
Series: Nankai Tracts in Mathematics : Book 8
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 272
Published: 16th December 2003
Publisher: World Scientific Publishing Co Pte Ltd
Country of Publication: SG
Dimensions (cm): 22.86 x 15.24  x 2.54
Weight (kg): 0.51

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