Name: Minimal Submanifolds and Related Topics: 16 (Nankai Tracts in Mathematics) (en Inglés)
Price: 3150.09 MXN
Availability: InStock
Author: Yuanlong Xin
ISBN: 9789813236059

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portada Minimal Submanifolds and Related Topics: 16 (Nankai Tracts in Mathematics) (en Inglés)

Formato

Libro Físico

Editorial

World Scientific Publishing Co Pte Ltd

Autor

Yuanlong Xin

Año

2018

Idioma

Inglés

N° páginas

396

Encuadernación

Tapa Dura

ISBN13

9789813236059

Categorías

Cálculo diferencial y ecuaciones

Minimal Submanifolds and Related Topics: 16 (Nankai Tracts in Mathematics) (en Inglés)

Yuanlong Xin (Autor) · World Scientific Publishing Co Pte Ltd · Tapa Dura

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Reseña del libro "Minimal Submanifolds and Related Topics: 16 (Nankai Tracts in Mathematics) (en Inglés)"

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. Readership: Researchers and graduate students in differential geometry.