Read Books Online and Download eBooks, EPub, PDF, Mobi, Kindle, Text Full Free.
Download Survey Lectures On Minimal Submanifolds full books in PDF, epub, and Kindle. Read online Survey Lectures On Minimal Submanifolds ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
Author : Leon Melvin Simon
Publisher :
ISBN 13 : 9780868390987
Total Pages : 57 pages
Book Rating : 4.3/5 (99 download)
Download or read book Survey Lectures on Minimal Submanifolds written by Leon Melvin Simon and published by . This book was released on 1980 with total page 57 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : H. Blaine Lawson
Publisher :
ISBN 13 :
Total Pages : 200 pages
Book Rating : 4.3/5 (91 download)
Download or read book Lectures on Minimal Submanifolds written by H. Blaine Lawson and published by . This book was released on 1980 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Enrico Bombieri
Publisher : Princeton University Press
ISBN 13 : 1400881439
Total Pages : 368 pages
Book Rating : 4.4/5 (8 download)
Download or read book Seminar On Minimal Submanifolds. (AM-103), Volume 103 written by Enrico Bombieri and published by Princeton University Press. This book was released on 2016-03-02 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: The description for this book, Seminar On Minimal Submanifolds. (AM-103), Volume 103, will be forthcoming.
Author : Herbert Blaine Lawson
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (834 download)
Download or read book Lectures on minimal submanifolds written by Herbert Blaine Lawson and published by . This book was released on 1980 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Y. L. Xin
Publisher : World Scientific
ISBN 13 : 9812386874
Total Pages : 271 pages
Book Rating : 4.8/5 (123 download)
Download or read book Minimal Submanifolds and Related Topics written by Y. L. Xin and published by World Scientific. This book was released on 2003 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : H. Blaine Jr Lawson
Publisher :
ISBN 13 :
Total Pages : 178 pages
Book Rating : 4.:/5 (11 download)
Download or read book Lectures on Minimal Submanifolds - Vol. I. written by H. Blaine Jr Lawson and published by . This book was released on 1980 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Henri Anciaux
Publisher : World Scientific
ISBN 13 : 9814291242
Total Pages : 184 pages
Book Rating : 4.8/5 (142 download)
Download or read book Minimal Submanifolds in Pseudo-Riemannian Geometry written by Henri Anciaux and published by World Scientific. This book was released on 2011 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Yuanlong Xin
Publisher : World Scientific
ISBN 13 : 9813236078
Total Pages : 397 pages
Book Rating : 4.8/5 (132 download)
Download or read book Minimal Submanifolds And Related Topics (Second Edition) written by Yuanlong Xin and published by World Scientific. This book was released on 2018-08-03 with total page 397 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : William Meeks
Publisher : American Mathematical Soc.
ISBN 13 : 0821869124
Total Pages : 195 pages
Book Rating : 4.8/5 (218 download)
Download or read book A Survey on Classical Minimal Surface Theory written by William Meeks and published by American Mathematical Soc.. This book was released on 2012 with total page 195 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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).
Author : Michael Taylor
Publisher : Springer Science & Business Media
ISBN 13 : 1475741901
Total Pages : 629 pages
Book Rating : 4.4/5 (757 download)
Download or read book Partial Differential Equations III written by Michael Taylor and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 629 pages. Available in PDF, EPUB and Kindle. Book excerpt: The third of three volumes on partial differential equations, this is devoted to nonlinear PDE. It treats a number of equations of classical continuum mechanics, including relativistic versions, as well as various equations arising in differential geometry, such as in the study of minimal surfaces, isometric imbedding, conformal deformation, harmonic maps, and prescribed Gauss curvature. In addition, some nonlinear diffusion problems are studied. It also introduces such analytical tools as the theory of L Sobolev spaces, H lder spaces, Hardy spaces, and Morrey spaces, and also a development of Calderon-Zygmund theory and paradifferential operator calculus. The book is aimed at graduate students in mathematics, and at professional mathematicians with an interest in partial differential equations, mathematical physics, differential geometry, harmonic analysis and complex analysis. ^
Author : Stefan Hildebrandt
Publisher : Springer
ISBN 13 : 3540460241
Total Pages : 433 pages
Book Rating : 4.5/5 (44 download)
Download or read book Partial Differential Equations and Calculus of Variations written by Stefan Hildebrandt and published by Springer. This book was released on 2006-11-14 with total page 433 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains 18 invited papers by members and guests of the former Sonderforschungsbereich in Bonn (SFB 72) who, over the years, collaborated on the research group "Solution of PDE's and Calculus of Variations". The emphasis is on existence and regularity results, on special equations of mathematical physics and on scattering theory.
Author : Robert Osserman
Publisher : Courier Corporation
ISBN 13 : 0486167690
Total Pages : 226 pages
Book Rating : 4.4/5 (861 download)
Download or read book A Survey of Minimal Surfaces written by Robert Osserman and published by Courier Corporation. This book was released on 2013-12-10 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: Newly updated accessible study covers parametric and non-parametric surfaces, isothermal parameters, Bernstein’s theorem, much more, including such recent developments as new work on Plateau’s problem and on isoperimetric inequalities. Clear, comprehensive examination provides profound insights into crucial area of pure mathematics. 1986 edition. Index.
Author : Frank Morgan
Publisher : Academic Press
ISBN 13 : 0080922406
Total Pages : 259 pages
Book Rating : 4.0/5 (89 download)
Download or read book Geometric Measure Theory written by Frank Morgan and published by Academic Press. This book was released on 2008-09-09 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometric Measure Theory, Fourth Edition, is an excellent text for introducing ideas from geometric measure theory and the calculus of variations to beginning graduate students and researchers. This updated edition contains abundant illustrations, examples, exercises, and solutions; and the latest results on soap bubble clusters, including a new chapter on Double Bubbles in Spheres, Gauss Space, and Tori. It also includes a new chapter on Manifolds with Density and Perelman's Proof of the Poincaré Conjecture. This text is essential to any student who wants to learn geometric measure theory, and will appeal to researchers and mathematicians working in the field. Morgan emphasizes geometry over proofs and technicalities providing a fast and efficient insight into many aspects of the subject. New to the 4th edition: * Abundant illustrations, examples, exercises, and solutions. * The latest results on soap bubble clusters, including a new chapter on "Double Bubbles in Spheres, Gauss Space, and Tori." * A new chapter on "Manifolds with Density and Perelman's Proof of the Poincaré Conjecture." * Contributions by undergraduates.
Author : Enrico Bombieri
Publisher :
ISBN 13 :
Total Pages : 384 pages
Book Rating : 4.:/5 (51 download)
Download or read book Annals of Mathematics Studies written by Enrico Bombieri and published by . This book was released on 1983 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Herbert Blaine Lawson (Jr.)
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (64 download)
Download or read book Lectures on Minimal Submanifolds written by Herbert Blaine Lawson (Jr.) and published by . This book was released on 1970 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ulrich Dierkes
Publisher : Springer Science & Business Media
ISBN 13 : 3642117007
Total Pages : 634 pages
Book Rating : 4.6/5 (421 download)
Download or read book Regularity of Minimal Surfaces written by Ulrich Dierkes and published by Springer Science & Business Media. This book was released on 2010-08-16 with total page 634 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Seiki Nishikawa
Publisher : Springer Science & Business Media
ISBN 13 : 4431684026
Total Pages : 160 pages
Book Rating : 4.4/5 (316 download)
Download or read book Lectures on Geometric Variational Problems written by Seiki Nishikawa and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this volume are collected notes of lectures delivered at the First In ternational Research Institute of the Mathematical Society of Japan. This conference, held at Tohoku University in July 1993, was devoted to geometry and global analysis. Subsequent to the conference, in answer to popular de mand from the participants, it was decided to publish the notes of the survey lectures. Written by the lecturers themselves, all experts in their respective fields, these notes are here presented in a single volume. It is hoped that they will provide a vivid account of the current research, from the introduc tory level up to and including the most recent results, and will indicate the direction to be taken by future researeh. This compilation begins with Jean-Pierre Bourguignon's notes entitled "An Introduction to Geometric Variational Problems," illustrating the gen eral framework of the field with many examples and providing the reader with a broad view of the current research. Following this, Kenji Fukaya's notes on "Geometry of Gauge Fields" are concerned with gauge theory and its applications to low-dimensional topology, without delving too deeply into technical detail. Special emphasis is placed on explaining the ideas of infi nite dimensional geometry that, in the literature, are often hidden behind rigorous formulations or technical arguments.
