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E-book
Author Xin, Y. L., 1943- author.

Title Minimal submanifolds and related topics / Yuanlong Xin
Published River Edge, New Jersey : World Scientific, ©2003

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Description 1 online resource (viii, 262 pages) : illustrations
Series Nankai tracts in mathematics ; v. 8
Nankai tracts in mathematics ; v. 8.
Contents Bernstein's theorem and its generalizations -- Weierstrass type representations -- Plateau's problem and Douglas-Rado solution -- Minimal submanifolds of higher codimension -- Stable minimal hypersurfaces -- Bernstein type theorems for higher codimension -- Entire space-like submanifolds
Summary Annotation 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
Notes Based on lectures delivered at the Institute of Mathematics, Fudan University
Bibliography Includes bibliographical references (pages 251-257) and index
Notes Print version record
Subject Minimal submanifolds.
Minimal surfaces.
MATHEMATICS -- Geometry -- Differential.
Minimal surfaces.
Minimal submanifolds.
Minimal submanifolds
Minimal surfaces
Form Electronic book
ISBN 9812564381
9789812564382
9812386874
9789812386878