Item description for Minimal Submanifolds and Related Topics (Nankai Tracts in Mathematics) by Yuanlong Xin...
The Bernstein problem and the Plateau problem are central topics in the theory of minimal submanifolds. This important book presents the DouglasRado 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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Studio: World Scientific Publishing Company
Est. Packaging Dimensions: Length: 9" Width: 5.9" Height: 0.8" Weight: 1 lbs.
Publisher World Scientific Publishing Company
ISBN 9812386874 ISBN13 9789812386878