Overview

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.

Full Product Details

Author:   Yuanlong Xin (Fudan Univ, China)
Publisher:   World Scientific Publishing Co Pte Ltd
Imprint:   World Scientific Publishing Co Pte Ltd
Volume:   8
Dimensions:   Width: 15.80cm , Height: 2.00cm , Length: 23.00cm
Weight:   0.513kg
ISBN:  

9789812386878

ISBN 10:   9812386874
Pages:   272
Publication Date:   16 December 2003
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Out of stock  
The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available.

Table of Contents

Bernstein's Theorem and Its Generalizations; Weierstrass Type Representations; Plateau's Problem and Douglas-Rato Solution; Minimal Submanifolds of Higher Codimension; Stable Minimal Hypersurfaces; Bernstein Type Theorems for Higher Codimension; Entire Space-Like Submanifolds.

Reviews

.,. important book for students who are familiar with the fundamentals of Riemannian geometry ...

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