Existence And Regularity Of Minimal Surfaces On Riemannian Manifolds Mn 27

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Existence and Regularity of Minimal Surfaces on Riemannian Manifolds. (MN-27)

Jon T. Pitts
Existence and Regularity of Minimal Surfaces on Riemannian Manifolds MN 27 Book PDF

Author : Jon T. Pitts
Publisher : Princeton University Press
Page : 337 pages
File Size : 52,8 Mb
Release : 2014-07-14
Category : Mathematics
ISBN : 9781400856459

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Existence and Regularity of Minimal Surfaces on Riemannian Manifolds. (MN-27) by Jon T. Pitts Pdf

Mathematical No/ex, 27 Originally published in 1981. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Regularity of Minimal Surfaces

Ulrich Dierkes,Stefan Hildebrandt,Anthony Tromba
Regularity of Minimal Surfaces Book PDF

Author : Ulrich Dierkes,Stefan Hildebrandt,Anthony Tromba
Publisher : Springer Science & Business Media
Page : 634 pages
File Size : 49,9 Mb
Release : 2010-08-16
Category : Mathematics
ISBN : 9783642117008

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Regularity of Minimal Surfaces by Ulrich Dierkes,Stefan Hildebrandt,Anthony Tromba Pdf

Regularity of Minimal Surfaces begins with a survey of minimal surfaces with free boundaries. Following this, the basic results concerning the boundary behaviour of minimal surfaces and H-surfaces with fixed or free boundaries are studied. In particular, the asymptotic expansions at interior and boundary branch points are derived, leading to general Gauss-Bonnet formulas. Furthermore, gradient estimates and asymptotic expansions for minimal surfaces with only piecewise smooth boundaries are obtained. One of the main features of free boundary value problems for minimal surfaces is that, for principal reasons, it is impossible to derive a priori estimates. Therefore regularity proofs for non-minimizers have to be based on indirect reasoning using monotonicity formulas. This is followed by a long chapter discussing geometric properties of minimal and H-surfaces such as enclosure theorems and isoperimetric inequalities, leading to the discussion of obstacle problems and of Plateau ́s problem for H-surfaces in a Riemannian manifold. A natural generalization of the isoperimetric problem is the so-called thread problem, dealing with minimal surfaces whose boundary consists of a fixed arc of given length. Existence and regularity of solutions are discussed. The final chapter on branch points presents a new approach to the theorem that area minimizing solutions of Plateau ́s problem have no interior branch points.

Regularity of Minimal Surfaces

Ulrich Dierkes,Stefan Hildebrandt,Anthony Tromba
Regularity of Minimal Surfaces Book PDF

Author : Ulrich Dierkes,Stefan Hildebrandt,Anthony Tromba
Publisher : Springer
Page : 623 pages
File Size : 45,6 Mb
Release : 2010-09-30
Category : Mathematics
ISBN : 364211699X

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Regularity of Minimal Surfaces by Ulrich Dierkes,Stefan Hildebrandt,Anthony Tromba Pdf

Regularity of Minimal Surfaces begins with a survey of minimal surfaces with free boundaries. Following this, the basic results concerning the boundary behaviour of minimal surfaces and H-surfaces with fixed or free boundaries are studied. In particular, the asymptotic expansions at interior and boundary branch points are derived, leading to general Gauss-Bonnet formulas. Furthermore, gradient estimates and asymptotic expansions for minimal surfaces with only piecewise smooth boundaries are obtained. One of the main features of free boundary value problems for minimal surfaces is that, for principal reasons, it is impossible to derive a priori estimates. Therefore regularity proofs for non-minimizers have to be based on indirect reasoning using monotonicity formulas. This is followed by a long chapter discussing geometric properties of minimal and H-surfaces such as enclosure theorems and isoperimetric inequalities, leading to the discussion of obstacle problems and of Plateau ́s problem for H-surfaces in a Riemannian manifold. A natural generalization of the isoperimetric problem is the so-called thread problem, dealing with minimal surfaces whose boundary consists of a fixed arc of given length. Existence and regularity of solutions are discussed. The final chapter on branch points presents a new approach to the theorem that area minimizing solutions of Plateau ́s problem have no interior branch points.

Geometric Measure Theory and the Calculus of Variations

Summer Institute on Geometric Measure Theory and the Calculus of Variations (1984 Humbol
Geometric Measure Theory and the Calculus of Variations Book PDF

Author : Summer Institute on Geometric Measure Theory and the Calculus of Variations (1984 Humbol
Publisher : American Mathematical Soc.
Page : 464 pages
File Size : 51,7 Mb
Release : 1986
Category : Mathematics
ISBN : 9780821814703

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Geometric Measure Theory and the Calculus of Variations by Summer Institute on Geometric Measure Theory and the Calculus of Variations (1984 Humbol Pdf

These twenty-six papers survey a cross section of current work in modern geometric measure theory and its applications in the calculus of variations. Presently the field consists of a jumble of new ideas, techniques and intuitive hunches; an exchange of information has been hindered, however, by the characteristic length and complexity of formal research papers in higher-dimensional geometric analysis. This volume provides an easier access to the material, including introductions and summaries of many of the authors' much longer works and a section containing 80 open problems in the field. The papers are aimed at analysts and geometers who may use geometric measure-theoretic techniques, and they require a mathematical sophistication at the level of a second year graduate student. The papers included were presented at the 1984 AMS Summer Research Institute held at Humboldt State University. A major theme of this institute was the introduction and application of multiple-valued function techniques as a basic new tool in geometric analysis, highlighted by Almgren's fundamental paper Deformations and multiple-valued functions. Major new results discussed at the conference included the following: Allard's integrality and regularity theorems for surfaces stationary with respect to general elliptic integrands; Scheffer's first example of a singular solution to the Navier-Stokes equations for a fluid flow with opposing force; and Hutchinson's new definition of the second fundamental form of a general varifold.

Minimal Surfaces in Riemannian Manifolds

Min Ji,Guang Yin Wang
Minimal Surfaces in Riemannian Manifolds Book PDF

Author : Min Ji,Guang Yin Wang
Publisher : American Mathematical Soc.
Page : 50 pages
File Size : 48,8 Mb
Release : 1993
Category : Mathematics
ISBN : 9780821825600

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Minimal Surfaces in Riemannian Manifolds by Min Ji,Guang Yin Wang Pdf

This monograph studies the structure of the set of all co boundary minimal surfaces in Riemannian manifolds. The authors establish, on a solid analytical foundation, a flexible topological index theory which proves useful for the study of minimal surfaces. One of the highlights of the work is the result that for every Jordan curve on the standard $n$-sphere, there exist at least two minimal surfaces bounded by the curve.

Minimal Surfaces in Riemannian Manifolds

Min Ji,Guang Yin Wang
Minimal Surfaces in Riemannian Manifolds Book PDF

Author : Min Ji,Guang Yin Wang
Publisher : American Mathematical Soc.
Page : 68 pages
File Size : 42,5 Mb
Release : 1990
Category : Mathematics
ISBN : 0821862189

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Minimal Surfaces in Riemannian Manifolds by Min Ji,Guang Yin Wang Pdf

This monograph studies the structure of the set of all coboundary minimal surfaces in Riemannian manifolds. The authors establish, on a solid analytical foundation, a flexible topological index theory which proves useful for the study of minimal surfaces. One of the highlights of the work is the result that for every Jordan curve on the standard $n$-sphere, there exist at least two minimal surfaces bounded by the curve.

The Publishers' Trade List Annual

Anonim
The Publishers Trade List Annual Book PDF

Author : Anonim
Publisher : Unknown
Page : 1186 pages
File Size : 42,6 Mb
Release : 1986
Category : American literature
ISBN : UOM:39015020249101

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The Publishers' Trade List Annual by Anonim Pdf

Mathematical Congress of the Americas

Jimmy Petean
Mathematical Congress of the Americas Book PDF

Author : Jimmy Petean
Publisher : American Mathematical Soc.
Page : 201 pages
File Size : 46,9 Mb
Release : 2016-01-25
Category : Mathematics
ISBN : 9781470423100

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Mathematical Congress of the Americas by Jimmy Petean Pdf

This volume contains the proceedings of the First Mathematical Congress of the Americas, held from August 5-9, 2013, in Guanajuato, México. With the participation of close to 1,000 researchers from more than 40 countries, the meeting set a benchmark for mathematics in the two continents. The papers, written by some of the plenary and invited speakers, as well as winners of MCA awards, cover new developments in classic topics such as Hopf fibrations, minimal surfaces, and Markov processes, and provide recent insights on combinatorics and geometry, isospectral spherical space forms, homogenization on manifolds, and Lagrangian cobordism, as well as applications to physics and biology.

Regularity of Minimal Surfaces

Ulrich Dierkes,Stefan Hildebrandt,Anthony Tromba
Regularity of Minimal Surfaces Book PDF

Author : Ulrich Dierkes,Stefan Hildebrandt,Anthony Tromba
Publisher : Springer
Page : 623 pages
File Size : 52,9 Mb
Release : 2010-11-05
Category : Mathematics
ISBN : 3642117538

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Regularity of Minimal Surfaces by Ulrich Dierkes,Stefan Hildebrandt,Anthony Tromba Pdf

Regularity of Minimal Surfaces begins with a survey of minimal surfaces with free boundaries. Following this, the basic results concerning the boundary behaviour of minimal surfaces and H-surfaces with fixed or free boundaries are studied. In particular, the asymptotic expansions at interior and boundary branch points are derived, leading to general Gauss-Bonnet formulas. Furthermore, gradient estimates and asymptotic expansions for minimal surfaces with only piecewise smooth boundaries are obtained. One of the main features of free boundary value problems for minimal surfaces is that, for principal reasons, it is impossible to derive a priori estimates. Therefore regularity proofs for non-minimizers have to be based on indirect reasoning using monotonicity formulas. This is followed by a long chapter discussing geometric properties of minimal and H-surfaces such as enclosure theorems and isoperimetric inequalities, leading to the discussion of obstacle problems and of Plateau ́s problem for H-surfaces in a Riemannian manifold. A natural generalization of the isoperimetric problem is the so-called thread problem, dealing with minimal surfaces whose boundary consists of a fixed arc of given length. Existence and regularity of solutions are discussed. The final chapter on branch points presents a new approach to the theorem that area minimizing solutions of Plateau ́s problem have no interior branch points.

Lectures on Minimal Submanifolds

H. Blaine Lawson
Lectures on Minimal Submanifolds Book PDF

Author : H. Blaine Lawson
Publisher : Unknown
Page : 200 pages
File Size : 50,8 Mb
Release : 1980
Category : Mathematics
ISBN : UOM:39015014355195

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Lectures on Minimal Submanifolds by H. Blaine Lawson Pdf

Seminar On Minimal Submanifolds. (AM-103), Volume 103

Enrico Bombieri
Seminar On Minimal Submanifolds AM 103 Volume 103 Book PDF

Author : Enrico Bombieri
Publisher : Princeton University Press
Page : 368 pages
File Size : 54,5 Mb
Release : 2016-03-02
Category : Mathematics
ISBN : 9781400881437

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Seminar On Minimal Submanifolds. (AM-103), Volume 103 by Enrico Bombieri Pdf

The description for this book, Seminar On Minimal Submanifolds. (AM-103), Volume 103, will be forthcoming.

Minimal Surfaces in Riemannian Manifolds

Min Ji
Minimal Surfaces in Riemannian Manifolds Book PDF

Author : Min Ji
Publisher : Oxford University Press, USA
Page : 63 pages
File Size : 42,7 Mb
Release : 2014-08-31
Category : MATHEMATICS
ISBN : 1470400723

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Minimal Surfaces in Riemannian Manifolds by Min Ji Pdf

This monograph studies the structure of the set of all coboundary minimal surfaces in Riemannian manifolds. The authors establish, on a solid analytical foundation, a flexible topological index theory which proves useful for the study of minimal surfaces. One of the highlights of the work is the result that for every Jordan curve on the standard $n$-sphere, there exist at least two minimal surfaces bounded by the curve.

A Survey on Classical Minimal Surface Theory

William Meeks,Joaquín Pérez
A Survey on Classical Minimal Surface Theory Book PDF

Author : William Meeks,Joaquín Pérez
Publisher : American Mathematical Soc.
Page : 195 pages
File Size : 43,5 Mb
Release : 2012
Category : Mathematics
ISBN : 9780821869123

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A Survey on Classical Minimal Surface Theory by William Meeks,Joaquín Pérez Pdf

Meeks and Pérez extend their 2011 survey article "The classical theory of Minimal surfaces" in the Bulletin of the American Mathematical Society to include other recent research results. Their topics include minimal surfaces with finite topology and more than one end, limits of embedded minimal surfaces without local area or curvature bounds, conformal structure of minimal surfaces, embedded minimal surfaces of finite genus, topological aspects of minimal surfaces, and Calabi-Yau problems. There is no index. Annotation ©2013 Book News, Inc., Portland, OR (booknews.com).