Minimal Submanifolds and Related Topics

Minimal Submanifolds and Related Topics

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The Bernstein problem and the Plateau problem are central topics inthe theory of minimal submanifolds. This important book presents theDouglasOCoRado solution to the Plateau problem, but the main emphasisis on the Bernstein problem and its new developments in variousdirections: the value distribution of the Gauss image of a minimalsurface in Euclidean 3-space, Simons'' work for minimal graphichypersurfaces, and author''s own contributions to Bernstein typetheorems for higher codimension.qIn 1847 Belgian physicist J. Plateau raised a famous problem. Dipping a wire into the soap solution, then skillfully removing it out, he got one or more soap films spanning on the wire frame. He showed that those soap films are surfaces withanbsp;...

Title:Minimal Submanifolds and Related Topics
Author:Y. L. Xin
Publisher:World Scientific - 2003


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