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Minimal Submanifolds And Related Topics
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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.
World Scientific; January 2003
271 pages; ISBN 9789812564382
Read online, or download in secure PDF format
271 pages; ISBN 9789812564382
Read online, or download in secure PDF format