Minimal Submanifolds And Related Topics
by
Yuanlong Xin
Book Details
Format
Hardback or Cased Book
Book Series
Nankai Tracts in Mathematics
ISBN-10
9812386874
ISBN-13
9789812386878
Publisher
World Scientific Publishing Co Pte Ltd
Imprint
World Scientific Publishing Co Pte Ltd
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Dec 16th, 2003
Print length
272 Pages
Weight
518 grams
Dimensions
23.40 x 16.30 x 1.90 cms
Product Classification:
Differential & Riemannian geometryDifferential and Riemannian geometry
Ksh 19,800.00
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The Bernstein problem and the Plateau problem are central topics in the theory of minimal submanifolds. This 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 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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