Download or read book Surveys in Differential Geometry Vol Tribute to Professor S S Chern written by and published by . This book was released on 2010-04-30 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Surveys in Differential Geometry written by Shing-Tung Yau and published by . This book was released on 2006 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Surveys in Differential Geometry V 10 written by Karen K. Uhlenbeck and published by . This book was released on 2009-01-30 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Includes lectures on geometry and topology related to the works of the late and venerated S S Chern, from the 2005 JDG conference at Harvard University.
Download or read book Lectures On Differential Geometry written by Weihuan Chen and published by World Scientific Publishing Company. This book was released on 1999-11-30 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a translation of an authoritative introductory text based on a lecture series delivered by the renowned differential geometer, Professor S S Chern in Beijing University in 1980. The original Chinese text, authored by Professor Chern and Professor Wei-Huan Chen, was a unique contribution to the mathematics literature, combining simplicity and economy of approach with depth of contents. The present translation is aimed at a wide audience, including (but not limited to) advanced undergraduate and graduate students in mathematics, as well as physicists interested in the diverse applications of differential geometry to physics. In addition to a thorough treatment of the fundamentals of manifold theory, exterior algebra, the exterior calculus, connections on fiber bundles, Riemannian geometry, Lie groups and moving frames, and complex manifolds (with a succinct introduction to the theory of Chern classes), and an appendix on the relationship between differential geometry and theoretical physics, this book includes a new chapter on Finsler geometry and a new appendix on the history and recent developments of differential geometry, the latter prepared specially for this edition by Professor Chern to bring the text into perspectives.
Download or read book Topics in Differential Geometry written by Shiing-Shen Chern and published by . This book was released on 2017 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Differential Geometry written by Yibing Shen and published by . This book was released on 2012 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: The editors dedicate this volume to the late S.–S. Chern, one of the great mathematicians of the twentieth century, and a leader in the field of differential geometry. Chern made seminal advances in areas such as web geometry, integral geometry, complex geometry, Riemannian geometry, and Finsler geometry. He is well-known for the Chern-Simons theory, the Chern-Weil theory, and Chern classes. His brilliant research and teaching have exerted a deep and lasting influence on mathematics.
Presented herein are survey papers by mathematicians from around the world, particularly from China, who review the present state of the areas in which Chern worked, and discuss the various directions which those fields will take in the future. This collection contains valuable information useful to graduate students and researchers.
Download or read book Differential Geometry and Integral Geometry written by Shiing-Shen Chern and published by . This book was released on 2017 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents two sets of never-before-published notes from lectures given by S.-S. Chern. The set entitled Differential Manifolds" gives a smooth and rapid introduction to differential manifolds and differential geometry, while the set entitled Lectures on Integral Geometry is an accessible introduction to that subject. Also presented is a paper by Chern that serves as a gentle introduction to differential geometry, and reviews the status of global differential geometry in 1971.
Download or read book Surveys in Differential Geometry Vol 7 written by Yau and published by . This book was released on 2010-04-30 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book An Introduction to Extremal Kahler Metrics written by Gábor Székelyhidi and published by American Mathematical Soc.. This book was released on 2014-06-19 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: A basic problem in differential geometry is to find canonical metrics on manifolds. The best known example of this is the classical uniformization theorem for Riemann surfaces. Extremal metrics were introduced by Calabi as an attempt at finding a higher-dimensional generalization of this result, in the setting of Kähler geometry. This book gives an introduction to the study of extremal Kähler metrics and in particular to the conjectural picture relating the existence of extremal metrics on projective manifolds to the stability of the underlying manifold in the sense of algebraic geometry. The book addresses some of the basic ideas on both the analytic and the algebraic sides of this picture. An overview is given of much of the necessary background material, such as basic Kähler geometry, moment maps, and geometric invariant theory. Beyond the basic definitions and properties of extremal metrics, several highlights of the theory are discussed at a level accessible to graduate students: Yau's theorem on the existence of Kähler-Einstein metrics, the Bergman kernel expansion due to Tian, Donaldson's lower bound for the Calabi energy, and Arezzo-Pacard's existence theorem for constant scalar curvature Kähler metrics on blow-ups.
Download or read book Mirror Symmetry and Algebraic Geometry written by David A. Cox and published by American Mathematical Soc.. This book was released on 1999 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mirror symmetry began when theoretical physicists made some astonishing predictions about rational curves on quintic hypersurfaces in four-dimensional projective space. Understanding the mathematics behind these predictions has been a substantial challenge. This book is the first completely comprehensive monograph on mirror symmetry, covering the original observations by the physicists through the most recent progress made to date. Subjects discussed include toric varieties, Hodge theory, Kahler geometry, moduli of stable maps, Calabi-Yau manifolds, quantum cohomology, Gromov-Witten invariants, and the mirror theorem. This title features: numerous examples worked out in detail; an appendix on mathematical physics; an exposition of the algebraic theory of Gromov-Witten invariants and quantum cohomology; and, a proof of the mirror theorem for the quintic threefold.
Download or read book Tensors Geometry and Applications written by J. M. Landsberg and published by American Mathematical Soc.. This book was released on 2011-12-14 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: Tensors are ubiquitous in the sciences. The geometry of tensors is both a powerful tool for extracting information from data sets, and a beautiful subject in its own right. This book has three intended uses: a classroom textbook, a reference work for researchers in the sciences, and an account of classical and modern results in (aspects of) the theory that will be of interest to researchers in geometry. For classroom use, there is a modern introduction to multilinear algebra and to the geometry and representation theory needed to study tensors, including a large number of exercises. For researchers in the sciences, there is information on tensors in table format for easy reference and a summary of the state of the art in elementary language. This is the first book containing many classical results regarding tensors. Particular applications treated in the book include the complexity of matrix multiplication, P versus NP, signal processing, phylogenetics, and algebraic statistics. For geometers, there is material on secant varieties, G-varieties, spaces with finitely many orbits and how these objects arise in applications, discussions of numerous open questions in geometry arising in applications, and expositions of advanced topics such as the proof of the Alexander-Hirschowitz theorem and of the Weyman-Kempf method for computing syzygies.
Download or read book The Shape of Inner Space written by Shing-Tung Yau and published by Il Saggiatore. This book was released on 2010-09-07 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: The leading mind behind the mathematics of string theory discusses how geometry explains the universe we see. Illustrations.
Download or read book Lectures on Differential Geometry written by Richard M. Schoen and published by . This book was released on 1994 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Survival of a Mathematician written by Steven George Krantz and published by American Mathematical Soc.. This book was released on 2009 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: "One of the themes of the book is how to have a fulfilling professional life. In order to achieve this goal, Krantz discusses keeping a vigorous scholarly program going and finding new challenges, as well as dealing with the everyday tasks of research, teaching, and administration." "In short, this is a survival manual for the professional mathematician - both in academics and in industry and government agencies. It is a sequel to the author's A Mathematician's Survival Guide."--BOOK JACKET.
Download or read book The Many Facets of Geometry written by Nigel J. Hitchin and published by Oxford University Press. This book was released on 2010-07 with total page 453 pages. Available in PDF, EPUB and Kindle. Book excerpt: This title celebrates the academic career of Professor Nigel Hitchin - one of the most influential figures in the field of differential and algebraic geometry.
Download or read book Geometric Mechanics written by Waldyr Muniz Oliva and published by Springer. This book was released on 2004-10-23 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometric Mechanics here means mechanics on a pseudo-riemannian manifold and the main goal is the study of some mechanical models and concepts, with emphasis on the intrinsic and geometric aspects arising in classical problems. The first seven chapters are written in the spirit of Newtonian Mechanics while the last two ones as well as two of the four appendices describe the foundations and some aspects of Special and General Relativity. All the material has a coordinate free presentation but, for the sake of motivation, many examples and exercises are included in order to exhibit the desirable flavor of physical applications.
Download or read book Introduction to Frustrated Magnetism written by Claudine Lacroix and published by Springer Science & Business Media. This book was released on 2011-01-12 with total page 682 pages. Available in PDF, EPUB and Kindle. Book excerpt: The field of highly frustrated magnetism has developed considerably and expanded over the last 15 years. Issuing from canonical geometric frustration of interactions, it now extends over other aspects with many degrees of freedom such as magneto-elastic couplings, orbital degrees of freedom, dilution effects, and electron doping. Its is thus shown here that the concept of frustration impacts on many other fields in physics than magnetism. This book represents a state-of-the-art review aimed at a broad audience with tutorial chapters and more topical ones, encompassing solid-state chemistry, experimental and theoretical physics.
