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Minimal Submanifolds And Related Topics (Hardcover, Second Edition)
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Minimal Submanifolds And Related Topics (Hardcover, Second Edition)
Series: Nankai Tracts in Mathematics, 16
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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.
General
Imprint: |
World Scientific Publishing Co Pte Ltd
|
Country of origin: |
Singapore |
Series: |
Nankai Tracts in Mathematics, 16 |
Release date: |
September 2018 |
First published: |
2019 |
Authors: |
Yuanlong Xin
|
Dimensions: |
161 x 236 x 22mm (L x W x T) |
Format: |
Hardcover
|
Pages: |
396 |
Edition: |
Second Edition |
ISBN-13: |
978-981-3236-05-9 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
Geometry >
Differential & Riemannian geometry
|
LSN: |
981-3236-05-1 |
Barcode: |
9789813236059 |
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