Survey Lectures On Minimal Submanifolds
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Survey Lectures On Minimal Submanifolds
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Author : Leon Melvin Simon
language : en
Publisher:
Release Date : 1980
Survey Lectures On Minimal Submanifolds written by Leon Melvin Simon and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with Submanifolds categories.
Lectures On Minimal Submanifolds
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Author : Herbert Blaine Lawson
language : en
Publisher:
Release Date : 1980
Lectures On Minimal Submanifolds written by Herbert Blaine Lawson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with categories.
Lectures On Minimal Submanifolds
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Author : H. Blaine Lawson
language : en
Publisher:
Release Date : 1980
Lectures On Minimal Submanifolds written by H. Blaine Lawson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with Mathematics categories.
Seminar On Minimal Submanifolds Am 103 Volume 103
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Author : Enrico Bombieri
language : en
Publisher: Princeton University Press
Release Date : 2016-03-02
Seminar On Minimal Submanifolds Am 103 Volume 103 written by Enrico Bombieri and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-03-02 with Mathematics categories.
The description for this book, Seminar On Minimal Submanifolds. (AM-103), Volume 103, will be forthcoming.
Minimal Submanifolds And Related Topics
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Author : Y. L. Xin
language : en
Publisher: World Scientific
Release Date : 2003
Minimal Submanifolds And Related Topics written by Y. L. Xin and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Mathematics categories.
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.
Minimal Submanifolds In Pseudo Riemannian Geometry
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Author : Henri Anciaux
language : en
Publisher: World Scientific
Release Date : 2011
Minimal Submanifolds In Pseudo Riemannian Geometry written by Henri Anciaux and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Mathematics categories.
Since the foundational work of Lagrange on the differential equation to be satisfied by a minimal surface of the Euclidean space, the theory of minimal submanifolds have undergone considerable developments, involving techniques from related areas, such as the analysis of partial differential equations and complex analysis. On the other hand, the relativity theory has led to the study of pseudo-Riemannian manifolds, which turns out to be the most general framework for the study of minimal submanifolds. However, most of the recent books on the subject still present the theory only in the Riemannian case. For the first time, this textbook provides a self-contained and accessible introduction to the subject in the general setting of pseudo-Riemannian geometry, only assuming from the reader some basic knowledge about manifold theory. Several classical results, such as the Weierstrass representation formula for minimal surfaces, and the minimizing properties of complex submanifolds, are presented in full generality without sacrificing the clarity of exposition. Finally, a number of very recent results on the subject, including the classification of equivariant minimal hypersurfaces in pseudo-Riemannian space forms and the characterization of minimal Lagrangian surfaces in some pseudo-Khler manifolds are given.
Lectures On Minimal Submanifolds Vol I
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Author : H. Blaine Jr Lawson
language : en
Publisher:
Release Date : 1980
Lectures On Minimal Submanifolds Vol I written by H. Blaine Jr Lawson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with categories.
Minimal Submanifolds And Related Topics
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Author : Xin Yuanlong
language : en
Publisher: World Scientific
Release Date : 1989-05-01
Minimal Submanifolds And Related Topics written by Xin Yuanlong and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989-05-01 with Mathematics categories.
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.
Lectures On Minimal Submanifolds
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Author : Herbert Blaine Lawson (Jr.)
language : en
Publisher:
Release Date : 1970
Lectures On Minimal Submanifolds written by Herbert Blaine Lawson (Jr.) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with Geometry, Differential categories.
Topics In Differential Geometry
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Author : Shiing-Shen Chern
language : en
Publisher:
Release Date : 2017
Topics In Differential Geometry written by Shiing-Shen Chern and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017 with Finsler spaces categories.
This volume presents a set of never-before-published notes from lectures given by S.-S. Chern in 1951 on the topic of "Minimal Submanifolds in a Riemannian Manifold." Also presented are five of Chern's expository papers which complement the lecture notes and provide an overview of the scope and power of differential geometry: From Triangles to Manifolds, Curves and Surfaces in Euclidean Space, Characteristic Classes and Characteristic Forms, Geometry and Physics, and The Geometry of G-Structures.