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Author: H. Blaine Lawson
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 200
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Book Description
Author: H. Blaine Lawson
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 200
Get Book Here
Book Description
Author: Herbert Blaine Lawson
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Book Description
Author: H. Blaine Jr Lawson
Publisher:
ISBN:
Category :
Languages : en
Pages : 178
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Book Description
Author: Leon Melvin Simon
Publisher:
ISBN: 9780868390987
Category : Submanifolds
Languages : en
Pages : 57
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Book Description
Author: Herbert Blaine Lawson (Jr.)
Publisher:
ISBN:
Category : Geometry, Differential
Languages : en
Pages :
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Author: Y. L. Xin
Publisher: World Scientific
ISBN: 9812386874
Category : Mathematics
Languages : en
Pages : 271
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Book Description
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 codimensions. 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.
Author: Enrico Bombieri
Publisher: Princeton University Press
ISBN: 1400881439
Category : Mathematics
Languages : en
Pages : 368
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Book Description
The description for this book, Seminar On Minimal Submanifolds. (AM-103), Volume 103, will be forthcoming.
Author: Yuanlong Xin
Publisher: World Scientific
ISBN: 9813236078
Category : Mathematics
Languages : en
Pages : 397
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Book Description
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.
Author: H. Blaine Lawson Jr.
Publisher:
ISBN:
Category :
Languages : pt-BR
Pages : 0
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Author: Ana Cannas da Silva
Publisher: Springer
ISBN: 354045330X
Category : Mathematics
Languages : en
Pages : 240
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Book Description
The goal of these notes is to provide a fast introduction to symplectic geometry for graduate students with some knowledge of differential geometry, de Rham theory and classical Lie groups. This text addresses symplectomorphisms, local forms, contact manifolds, compatible almost complex structures, Kaehler manifolds, hamiltonian mechanics, moment maps, symplectic reduction and symplectic toric manifolds. It contains guided problems, called homework, designed to complement the exposition or extend the reader's understanding. There are by now excellent references on symplectic geometry, a subset of which is in the bibliography of this book. However, the most efficient introduction to a subject is often a short elementary treatment, and these notes attempt to serve that purpose. This text provides a taste of areas of current research and will prepare the reader to explore recent papers and extensive books on symplectic geometry where the pace is much faster. For this reprint numerous corrections and clarifications have been made, and the layout has been improved.
