Minimal Submanifolds And Related Topics
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A01=Yuanlong Xin
Author_Yuanlong Xin
Bernstein's Problem
Category=PBMP
eq_isMigrated=1
eq_nobargain
Gauss Map
Parallel Mean Curvature Submanifold
Plateau's Problem
Space-Like Submanifold
Special Lagrangian Submanifold
Stable Minimal Hypersurface
Weierstrass Representation
Product details
- ISBN 9789812386878
- Publication Date: 16 Dec 2003
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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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 codimension. 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.
