Read Books Online and Download eBooks, EPub, PDF, Mobi, Kindle, Text Full Free.
Download Minimal Varieties In Constant Curvature Manifolds full books in PDF, epub, and Kindle. Read online Minimal Varieties In Constant Curvature Manifolds ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
Author : Herbert Blaine Lawson
Publisher :
ISBN 13 :
Total Pages : 108 pages
Book Rating : 4.:/5 (254 download)
Download or read book Minimal Varieties in Constant Curvature Manifolds written by Herbert Blaine Lawson and published by . This book was released on 1969 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : H. Blaine Lawson
Publisher :
ISBN 13 :
Total Pages : 236 pages
Book Rating : 4.F/5 ( download)
Download or read book Minimal Varieties in Constant Curvature Manifolds written by H. Blaine Lawson and published by . This book was released on 1968 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : John M. Lee
Publisher : Springer Science & Business Media
ISBN 13 : 038798271X
Total Pages : 233 pages
Book Rating : 4.3/5 (879 download)
Download or read book Riemannian Manifolds written by John M. Lee and published by Springer Science & Business Media. This book was released on 1997-09-05 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text focuses on developing an intimate acquaintance with the geometric meaning of curvature and thereby introduces and demonstrates all the main technical tools needed for a more advanced course on Riemannian manifolds. It covers proving the four most fundamental theorems relating curvature and topology: the Gauss-Bonnet Theorem, the Cartan-Hadamard Theorem, Bonnet’s Theorem, and a special case of the Cartan-Ambrose-Hicks Theorem.
Author : Bang-yen Chen
Publisher : World Scientific
ISBN 13 : 9814462489
Total Pages : 510 pages
Book Rating : 4.8/5 (144 download)
Download or read book Pseudo-riemannian Geometry, Delta-invariants And Applications written by Bang-yen Chen and published by World Scientific. This book was released on 2011-03-23 with total page 510 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first part of this book provides a self-contained and accessible introduction to the subject in the general setting of pseudo-Riemannian manifolds and their non-degenerate submanifolds, only assuming from the reader some basic knowledge about manifold theory. A number of recent results on pseudo-Riemannian submanifolds are also included.The second part of this book is on δ-invariants, which was introduced in the early 1990s by the author. The famous Nash embedding theorem published in 1956 was aimed for, in the hope that if Riemannian manifolds could be regarded as Riemannian submanifolds, this would then yield the opportunity to use extrinsic help. However, this hope had not been materialized as pointed out by M Gromov in his 1985 article published in Asterisque. The main reason for this is the lack of control of the extrinsic invariants of the submanifolds by known intrinsic invariants. In order to overcome such difficulties, as well as to provide answers for an open question on minimal immersions, the author introduced in the early 1990s new types of Riemannian invariants, known as δ-invariants, which are very different in nature from the classical Ricci and scalar curvatures. At the same time he was able to establish general optimal relations between δ-invariants and the main extrinsic invariants. Since then many new results concerning these δ-invariants have been obtained by many geometers. The second part of this book is to provide an extensive and comprehensive survey over this very active field of research done during the last two decades.
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 : David A. Hoffman
Publisher :
ISBN 13 :
Total Pages : 140 pages
Book Rating : 4.F/5 ( download)
Download or read book Surfaces in Constant Curvature Manifolds with Parallel Mean Curvature Vector Field written by David A. Hoffman and published by . This book was released on 1971 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : James Simons
Publisher :
ISBN 13 :
Total Pages : 180 pages
Book Rating : 4.:/5 (219 download)
Download or read book Minimal Varieties in Riemannian Manifolds written by James Simons and published by . This book was released on 1967* with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jerry L. Kazdan
Publisher : American Mathematical Soc.
ISBN 13 : 9780821889022
Total Pages : 68 pages
Book Rating : 4.8/5 (89 download)
Download or read book Prescribing the Curvature of a Riemannian Manifold written by Jerry L. Kazdan and published by American Mathematical Soc.. This book was released on 1985-12-31 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt: These notes were the basis for a series of ten lectures given in January 1984 at Polytechnic Institute of New York under the sponsorship of the Conference Board of the Mathematical Sciences and the National Science Foundation. The lectures were aimed at mathematicians who knew either some differential geometry or partial differential equations, although others could understand the lectures. Author's Summary:Given a Riemannian Manifold $(M,g)$ one can compute the sectional, Ricci, and scalar curvatures. In other special circumstances one also has mean curvatures, holomorphic curvatures, etc. The inverse problem is, given a candidate for some curvature, to determine if there is some metric $g$ with that as its curvature. One may also restrict ones attention to a special class of metrics, such as Kahler or conformal metrics, or those coming from an embedding. These problems lead one to (try to) solve nonlinear partial differential equations. However, there may be topological or analytic obstructions to solving these equations. A discussion of these problems thus requires a balanced understanding between various existence and non-existence results. The intent of this volume is to give an up-to-date survey of these questions, including enough background, so that the current research literature is accessible to mathematicians who are not necessarily experts in PDE or differential geometry. The intended audience is mathematicians and graduate students who know either PDE or differential geometry at roughly the level of an intermediate graduate course.
Author : Y. L. Xin
Publisher : World Scientific
ISBN 13 : 9789812564382
Total Pages : 280 pages
Book Rating : 4.5/5 (643 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 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Bernstein problem and the Plateau problem are central topics inthe theory of minimal submanifolds. This important book presents theDouglasOCoRado solution to the Plateau problem, but the main emphasisis on the Bernstein problem and its new developments in variousdirections: the value distribution of the Gauss image of a minimalsurface in Euclidean 3-space, Simons'' work for minimal graphichypersurfaces, and author''s own contributions to Bernstein typetheorems for higher codimension."
Author : Masahiro Kon
Publisher : World Scientific
ISBN 13 : 9814602809
Total Pages : 520 pages
Book Rating : 4.8/5 (146 download)
Download or read book Structures On Manifolds written by Masahiro Kon and published by World Scientific. This book was released on 1985-02-01 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contents: Riemannian ManifoldsSubmanifolds of Riemannian ManifoldsComplex ManifoldsSubmanifolds of Kaehlerian ManifoldsContact ManifoldsSubmanifolds of Sasakian Manifoldsf-StructuresProduct ManifoldsSubmersions Readership: Mathematicians. Keywords:Riemannian Manifold;Submanifold;Complex Manifold;Contact Manifold;Kaehlerian Manifold;Sasakian Manifold;Anti-Invariant Submanifold;CR Submanifold;Contact CR Submanifold;Submersion
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 : John Douglas Moore
Publisher : American Mathematical Soc.
ISBN 13 : 1470429500
Total Pages : 385 pages
Book Rating : 4.4/5 (74 download)
Download or read book Introduction to Global Analysis written by John Douglas Moore and published by American Mathematical Soc.. This book was released on 2017-12-15 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the last century, global analysis was one of the main sources of interaction between geometry and topology. One might argue that the core of this subject is Morse theory, according to which the critical points of a generic smooth proper function on a manifold determine the homology of the manifold. Morse envisioned applying this idea to the calculus of variations, including the theory of periodic motion in classical mechanics, by approximating the space of loops on by a finite-dimensional manifold of high dimension. Palais and Smale reformulated Morse's calculus of variations in terms of infinite-dimensional manifolds, and these infinite-dimensional manifolds were found useful for studying a wide variety of nonlinear PDEs. This book applies infinite-dimensional manifold theory to the Morse theory of closed geodesics in a Riemannian manifold. It then describes the problems encountered when extending this theory to maps from surfaces instead of curves. It treats critical point theory for closed parametrized minimal surfaces in a compact Riemannian manifold, establishing Morse inequalities for perturbed versions of the energy function on the mapping space. It studies the bubbling which occurs when the perturbation is turned off, together with applications to the existence of closed minimal surfaces. The Morse-Sard theorem is used to develop transversality theory for both closed geodesics and closed minimal surfaces. This book is based on lecture notes for graduate courses on “Topics in Differential Geometry”, taught by the author over several years. The reader is assumed to have taken basic graduate courses in differential geometry and algebraic topology.
Author : Jon Gordon Wolfson
Publisher :
ISBN 13 :
Total Pages : 204 pages
Book Rating : 4.:/5 (29 download)
Download or read book Minimal Surfaces in Complex Manifolds written by Jon Gordon Wolfson and published by . This book was released on 1982 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Manfredo P. do Carmo
Publisher : Springer Science & Business Media
ISBN 13 : 3642255884
Total Pages : 492 pages
Book Rating : 4.6/5 (422 download)
Download or read book Manfredo P. do Carmo – Selected Papers written by Manfredo P. do Carmo and published by Springer Science & Business Media. This book was released on 2012-04-02 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume of selected academic papers demonstrates the significance of the contribution to mathematics made by Manfredo P. do Carmo. Twice a Guggenheim Fellow and the winner of many prestigious national and international awards, the professor at the institute of Pure and Applied Mathematics in Rio de Janeiro is well known as the author of influential textbooks such as Differential Geometry of Curves and Surfaces. The area of differential geometry is the main focus of this selection, though it also contains do Carmo's own commentaries on his life as a scientist as well as assessment of the impact of his researches and a complete list of his publications. Aspects covered in the featured papers include relations between curvature and topology, convexity and rigidity, minimal surfaces, and conformal immersions, among others. Offering more than just a retrospective focus, the volume deals with subjects of current interest to researchers, including a paper co-authored with Frank Warner on the convexity of hypersurfaces in space forms. It also presents the basic stability results for minimal surfaces in the Euclidean space obtained by the author and his collaborators. Edited by do Carmo's first student, now a celebrated academic in her own right, this collection pays tribute to one of the most distinguished mathematicians.
Author : Bang-Yen Chen
Publisher : Courier Dover Publications
ISBN 13 : 0486832783
Total Pages : 193 pages
Book Rating : 4.4/5 (868 download)
Download or read book Geometry of Submanifolds written by Bang-Yen Chen and published by Courier Dover Publications. This book was released on 2019-06-12 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first two chapters of this frequently cited reference provide background material in Riemannian geometry and the theory of submanifolds. Subsequent chapters explore minimal submanifolds, submanifolds with parallel mean curvature vector, conformally flat manifolds, and umbilical manifolds. The final chapter discusses geometric inequalities of submanifolds, results in Morse theory and their applications, and total mean curvature of a submanifold. Suitable for graduate students and mathematicians in the area of classical and modern differential geometries, the treatment is largely self-contained. Problems sets conclude each chapter, and an extensive bibliography provides background for students wishing to conduct further research in this area. This new edition includes the author's corrections.
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 : Bang-yen Chen
Publisher : World Scientific Publishing Company
ISBN 13 : 9813104082
Total Pages : 366 pages
Book Rating : 4.8/5 (131 download)
Download or read book Total Mean Curvature And Submanifolds Of Finite Type written by Bang-yen Chen and published by World Scientific Publishing Company. This book was released on 1984-04-01 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this book is to introduce the reader to two interesting topics in geometry which have developed over the last fifteen years, namely, total mean curvature and submanifolds of finite type. The theory of total mean curvature is the study of the integral of the n-th power of the mean curvature of a compact n-dimensional submanifold in a Euclidean m-space and its applications to other branches of mathematics. The relation of total mean curvature to analysis, geometry and topology are discussed in detail. Motivated from these studies, the author introduces and studies submanifolds of finite type in the last chapter. Some applications of such submanifolds are also given. This book is self-contained. The author hopes that the reader will be encouraged to pursue his studies beyond the confines of the present book.
