Minimal Submanifolds And Related Topics PDF
by Xin Yuanlong Xin
Part of the Nankai Tracts In Mathematics series
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Description
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.
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- Format:PDF
- Pages:272 pages
- Publisher:World Scientific Publishing Company
- Publication Date:15/12/2003
- Category:
- ISBN:9789814483650
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Information
-
Download Now
- Format:PDF
- Pages:272 pages
- Publisher:World Scientific Publishing Company
- Publication Date:15/12/2003
- Category:
- ISBN:9789814483650
