Harmonic Maps Into Homogeneous Spaces
DOWNLOAD
Download Harmonic Maps Into Homogeneous Spaces PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Harmonic Maps Into Homogeneous Spaces book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Harmonic Maps Into Homogeneous Spaces
DOWNLOAD
Author : Malcolm Black
language : en
Publisher: CRC Press
Release Date : 1991-09-02
Harmonic Maps Into Homogeneous Spaces written by Malcolm Black and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-09-02 with Mathematics categories.
This book is concerned with harmonic maps into homogeneous spaces and focuses upon maps of Riemann surfaces into flag manifolds, to bring results of 'twistor methods' for symmetric spaces into a unified framework by using the theory of compact Lie groups and complex differential geometry.
Harmonic Maps Into Homogeneous Spaces
DOWNLOAD
Author : Malcolm Black
language : en
Publisher: Routledge
Release Date : 2018-05-04
Harmonic Maps Into Homogeneous Spaces written by Malcolm Black and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-04 with Mathematics categories.
Harmonic maps and the related theory of minimal surfaces are variational problems of long standing in differential geometry. Many important advances have been made in understanding harmonic maps of Riemann surfaces into symmetric spaces. In particular, ""twistor methods"" construct some, and in certain cases all, such mappings from holomorphic data. These notes develop techniques applicable to more general homogeneous manifolds, in particular a very general twistor result is proved. When applied to flag manifolds, this wider viewpoint allows many of the previously unrelated twistor results for symmetric spaces to be brought into a unified framework. These methods also enable a classification of harmonic maps into full flag manifolds to be established, and new examples are constructed. The techniques used are mostly a blend of the theory of compact Lie groups and complex differential geometry. This book should be of interest to mathematicians with experience in differential geometry and to theoretical physicists.
Nonlinear Partial Differential Equations In Geometry And Physics
DOWNLOAD
Author : Garth Baker
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06
Nonlinear Partial Differential Equations In Geometry And Physics written by Garth Baker and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
This volume presents the proceedings of a series of lectures hosted by the Math ematics Department of The University of Tennessee, Knoxville, March 22-24, 1995, under the title "Nonlinear Partial Differential Equations in Geometry and Physics" . While the relevance of partial differential equations to problems in differen tial geometry has been recognized since the early days of the latter subject, the idea that differential equations of differential-geometric origin can be useful in the formulation of physical theories is a much more recent one. Perhaps the earliest emergence of systems of nonlinear partial differential equations having deep geo metric and physical importance were the Einstein equations of general relativity (1915). Several basic aspects of the initial value problem for the Einstein equa tions, such as existence, regularity and stability of solutions remain prime research areas today. eighty years after Einstein's work. An even more recent development is the realization that structures originally the context of models in theoretical physics may turn out to have introduced in important geometric or topological applications. Perhaps its emergence can be traced back to 1954, with the introduction of a non-abelian version of Maxwell's equations as a model in elementary-particle physics, by the physicists C.N. Yang and R. Mills. The rich geometric structure ofthe Yang-Mills equations was brought to the attention of mathematicians through work of M.F. Atiyah, :"J. Hitchin, I.
Developments Of Harmonic Maps Wave Maps And Yang Mills Fields Into Biharmonic Maps Biwave Maps And Bi Yang Mills Fields
DOWNLOAD
Author : Yuan-Jen Chiang
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-18
Developments Of Harmonic Maps Wave Maps And Yang Mills Fields Into Biharmonic Maps Biwave Maps And Bi Yang Mills Fields written by Yuan-Jen Chiang and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-18 with Mathematics categories.
Harmonic maps between Riemannian manifolds were first established by James Eells and Joseph H. Sampson in 1964. Wave maps are harmonic maps on Minkowski spaces and have been studied since the 1990s. Yang-Mills fields, the critical points of Yang-Mills functionals of connections whose curvature tensors are harmonic, were explored by a few physicists in the 1950s, and biharmonic maps (generalizing harmonic maps) were introduced by Guoying Jiang in 1986. The book presents an overview of the important developments made in these fields since they first came up. Furthermore, it introduces biwave maps (generalizing wave maps) which were first studied by the author in 2009, and bi-Yang-Mills fields (generalizing Yang-Mills fields) first investigated by Toshiyuki Ichiyama, Jun-Ichi Inoguchi and Hajime Urakawa in 2008. Other topics discussed are exponential harmonic maps, exponential wave maps and exponential Yang-Mills fields.
Elliptic And Parabolic Methods In Geometry
DOWNLOAD
Author : Ben Chow
language : en
Publisher: CRC Press
Release Date : 1996-10-15
Elliptic And Parabolic Methods In Geometry written by Ben Chow and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-10-15 with Mathematics categories.
This book documents the results of a workshop held at the Geometry Center (University of Minnesota, Minneapolis) and captures the excitement of the week.
Geometry Of Biharmonic Mappings Differential Geometry Of Variational Methods
DOWNLOAD
Author : Hajime Urakawa
language : en
Publisher: World Scientific
Release Date : 2018-12-06
Geometry Of Biharmonic Mappings Differential Geometry Of Variational Methods written by Hajime Urakawa and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-12-06 with Mathematics categories.
'The present volume, written in a clear and precise style, ends with a rich bibliography of 167 items, including some classical books and papers. In the reviewer’s opinion, this excellent monograph will be a basic reference for graduate students and researchers working in the field of differential geometry of variational methods.'zbMATHThe author describes harmonic maps which are critical points of the energy functional, and biharmonic maps which are critical points of the bienergy functional. Also given are fundamental materials of the variational methods in differential geometry, and also fundamental materials of differential geometry.
Real And Complex Submanifolds
DOWNLOAD
Author : Young Jin Suh
language : en
Publisher: Springer
Release Date : 2014-12-05
Real And Complex Submanifolds written by Young Jin Suh and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-12-05 with Mathematics categories.
Edited in collaboration with the Grassmann Research Group, this book contains many important articles delivered at the ICM 2014 Satellite Conference and the 18th International Workshop on Real and Complex Submanifolds, which was held at the National Institute for Mathematical Sciences, Daejeon, Republic of Korea, August 10–12, 2014. The book covers various aspects of differential geometry focused on submanifolds, symmetric spaces, Riemannian and Lorentzian manifolds, and Kähler and Grassmann manifolds.
Differential Geometry And Topology
DOWNLOAD
Author : Boju Jiang
language : en
Publisher: Springer
Release Date : 2006-11-14
Differential Geometry And Topology written by Boju Jiang and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.
Nonlinear Analysis And Applications
DOWNLOAD
Author : Lakshmikantham
language : en
Publisher: CRC Press
Release Date : 2020-11-26
Nonlinear Analysis And Applications written by Lakshmikantham and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-11-26 with Mathematics categories.
This book attempts to put together the works of a wide range of mathematical scientists. It consists of the proceedings of the Seventh Conference on "Nonlinear Analysis and Applications" including papers that were delivered as invited talks and research reports.
Elliptic Integrable Systems
DOWNLOAD
Author : Idrisse Khemar
language : en
Publisher: American Mathematical Soc.
Release Date : 2012
Elliptic Integrable Systems written by Idrisse Khemar and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Mathematics categories.
In this paper, the author studies all the elliptic integrable systems, in the sense of C, that is to say, the family of all the $m$-th elliptic integrable systems associated to a $k^\prime$-symmetric space $N=G/G_0$. The author describes the geometry behind this family of integrable systems for which we know how to construct (at least locally) all the solutions. The introduction gives an overview of all the main results, as well as some related subjects and works, and some additional motivations.