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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 : 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 : 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 : 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 : Kichoon Yang
Publisher : Springer Science & Business Media
ISBN 13 : 9780792303992
Total Pages : 198 pages
Book Rating : 4.3/5 (39 download)
Download or read book Complete and Compact Minimal Surfaces written by Kichoon Yang and published by Springer Science & Business Media. This book was released on 1989-09-30 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'Et moi, ... , si j'avait su comment en reveni.r, One service mathematics has rendered the je n'y serais point aile.' human race. It has put common sense back Jules Verne where it belongs. on the topmost shelf next to the dusty canister labelled 'discarded non 111e series is divergent; therefore we may be sense'. Eric T. Bell able to do something with it. O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series.
Author : Tobias H. Colding
Publisher : Courant Institute of Mathemetical Sciences
ISBN 13 :
Total Pages : 136 pages
Book Rating : 4.F/5 ( download)
Download or read book Minimal Surfaces written by Tobias H. Colding and published by Courant Institute of Mathemetical Sciences. This book was released on 1999 with total page 136 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 : Spiro Karigiannis
Publisher : Springer Nature
ISBN 13 : 1071605771
Total Pages : 392 pages
Book Rating : 4.0/5 (716 download)
Download or read book Lectures and Surveys on G2-Manifolds and Related Topics written by Spiro Karigiannis and published by Springer Nature. This book was released on 2020-05-26 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, one of the first on G2 manifolds in decades, collects introductory lectures and survey articles largely based on talks given at a workshop held at the Fields Institute in August 2017, as part of the major thematic program on geometric analysis. It provides an accessible introduction to various aspects of the geometry of G2 manifolds, including the construction of examples, as well as the intimate relations with calibrated geometry, Yang-Mills gauge theory, and geometric flows. It also features the inclusion of a survey on the new topological and analytic invariants of G2 manifolds that have been recently discovered. The first half of the book, consisting of several introductory lectures, is aimed at experienced graduate students or early career researchers in geometry and topology who wish to familiarize themselves with this burgeoning field. The second half, consisting of numerous survey articles, is intended to be useful to both beginners and experts in the field.
Author : Ana Cannas da Silva
Publisher : Springer
ISBN 13 : 354045330X
Total Pages : 220 pages
Book Rating : 4.5/5 (44 download)
Download or read book Lectures on Symplectic Geometry written by Ana Cannas da Silva and published by Springer. This book was released on 2004-10-27 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
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.
Author : Shiing-Shen Chern
Publisher :
ISBN 13 :
Total Pages : 68 pages
Book Rating : 4.3/5 (91 download)
Download or read book Lecture Notes on Minimal Submanifolds written by Shiing-Shen Chern and published by . This book was released on 1968 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Franki Dillen
Publisher : World Scientific
ISBN 13 : 9814554626
Total Pages : 298 pages
Book Rating : 4.8/5 (145 download)
Download or read book Geometry And Topology Of Submanifolds Iv - Proceedings Of The Conference On Differential Geometry And Vision written by Franki Dillen and published by World Scientific. This book was released on 1992-07-17 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: This proceedings on pure and applied differential geometry, discusses several subjects in submanifold theory, such as the Willmore problem, minimal surfaces, submanifolds of finite type, affine differential geometry, indefinite Riemannian geometry, and applications of differential geometry in human and artificial vision.
Author : Yi Fang
Publisher :
ISBN 13 :
Total Pages : 192 pages
Book Rating : 4.3/5 (91 download)
Download or read book Lectures on Minimal Surfaces in R3 written by Yi Fang and published by . This book was released on 1996 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Frank Morgan
Publisher : Academic Press
ISBN 13 : 9780080922409
Total Pages : 264 pages
Book Rating : 4.9/5 (224 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 264 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 : Tobias H. Colding
Publisher : American Mathematical Soc.
ISBN 13 : 0821853236
Total Pages : 330 pages
Book Rating : 4.8/5 (218 download)
Download or read book A Course in Minimal Surfaces written by Tobias H. Colding and published by American Mathematical Soc.. This book was released on 2011 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Minimal surfaces date back to Euler and Lagrange and the beginning of the calculus of variations. Many of the techniques developed have played key roles in geometry and partial differential equations. Examples include monotonicity and tangent cone analysis originating in the regularity theory for minimal surfaces, estimates for nonlinear equations based on the maximum principle arising in Bernstein's classical work, and even Lebesgue's definition of the integral that he developed in his thesis on the Plateau problem for minimal surfaces. This book starts with the classical theory of minimal surfaces and ends up with current research topics. Of the various ways of approaching minimal surfaces (from complex analysis, PDE, or geometric measure theory), the authors have chosen to focus on the PDE aspects of the theory. The book also contains some of the applications of minimal surfaces to other fields including low dimensional topology, general relativity, and materials science."--Publisher's description.
Author : Shiing-Shen Chern
Publisher :
ISBN 13 :
Total Pages : 230 pages
Book Rating : 4.3/5 (91 download)
Download or read book Topics in Differential Geometry written by Shiing-Shen Chern and published by . This book was released on 1951 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt:
