Minimal Submanifolds and Related Topics - Couverture rigide

Xin, Yuanlong

 
9789813236059: Minimal Submanifolds and Related Topics
Couverture rigide
ISBN 10 : 9813236051 ISBN 13 : 9789813236059
Editeur : World Scientific Publishing Co Pte Ltd, 2018

Synopsis

In the theory of minimal submanifolds, Bernstein's problem and Plateau's problem are central topics. This important book presents the Douglas–Rado solution to Plateau's problem, but the main emphasis is on Bernstein's 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 the 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.

This new edition contains the author's recent work on the Lawson–Osserman's problem for higher codimension, and on Chern's problem for minimal hypersurfaces in the sphere. Both Chern's problem and Lawson–Osserman's problem are important problems in minimal surface theory which are still unsolved. In addition, some new techniques were developed to address those problems in detail, which are of interest in the field of geometric analysis.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Éditeur
World Scientific Publishing Co Pte Ltd
Date d'édition
2018
Langue
anglais
ISBN 10 
9813236051
ISBN 13 
9789813236059
Reliure
Relié
Numéro d'édition
2
Nombre de pages
398
Coordonnées du fabricant
non disponible
Personne responsable
gpsr@libri.de
gpsr@libri.de

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