ENGLISH

Minimal submanifolds and related topics

By Yuanlong Xin

Book information

Publisher
World Scientific Publishing Company
Year
2004
ISBN
9812386874, 9789812386878, 9789812564382
Open Library ID
OL9196491M
Language
english
Format
DJVU
Filesize
2 MB (1690278 bytes)
Series
Nankai Tracts in Mathematics
Edition
illustrated edition
Pages
271\271
Library
Kolxo3
DPI
299
Time added
2009-07-20 03:45:11

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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