Description |
1 online resource (viii, 262 pages) : illustrations |
Series |
Nankai tracts in mathematics ; v. 8 |
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Nankai tracts in mathematics ; v. 8.
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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.
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Minimal surfaces.
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MATHEMATICS -- Geometry -- Differential.
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Minimal surfaces.
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Minimal submanifolds.
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Minimal submanifolds
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Minimal surfaces
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Form |
Electronic book
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ISBN |
9812564381 |
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9789812564382 |
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9812386874 |
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9789812386878 |
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