Harmonic Maps And Loop Groups PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Harmonic Maps And Loop Groups PDF full book. Access full book title Harmonic Maps And Loop Groups.
Author | : Martin A. Guest |
Publisher | : Cambridge University Press |
Total Pages | : 202 |
Release | : 1997-01-13 |
Genre | : Mathematics |
ISBN | : 9780521589321 |
Download Harmonic Maps, Loop Groups, and Integrable Systems Book in PDF, ePub and Kindle
Harmonic maps are generalisations of the concept of geodesics. They encompass many fundamental examples in differential geometry and have recently become of widespread use in many areas of mathematics and mathematical physics. This is an accessible introduction to some of the fundamental connections between differential geometry, Lie groups, and integrable Hamiltonian systems. The specific goal of the book is to show how the theory of loop groups can be used to study harmonic maps. By concentrating on the main ideas and examples, the author leads up to topics of current research. The book is suitable for students who are beginning to study manifolds and Lie groups, and should be of interest both to mathematicians and to theoretical physicists.
Author | : Rui Pacheco |
Publisher | : |
Total Pages | : |
Release | : 2004 |
Genre | : |
ISBN | : |
Download Harmonic Maps and Loop Groups Book in PDF, ePub and Kindle
Author | : John C. Wood |
Publisher | : Springer-Verlag |
Total Pages | : 328 |
Release | : 2013-07-02 |
Genre | : Mathematics |
ISBN | : 366314092X |
Download Harmonic Maps and Integrable Systems Book in PDF, ePub and Kindle
Author | : Christopher Kum Anand |
Publisher | : CRC Press |
Total Pages | : 332 |
Release | : 1999-10-13 |
Genre | : Mathematics |
ISBN | : 9781584880325 |
Download Harmonic Morphisms, Harmonic Maps and Related Topics Book in PDF, ePub and Kindle
The subject of harmonic morphisms is relatively new but has attracted a huge worldwide following. Mathematicians, young researchers and distinguished experts came from all corners of the globe to the City of Brest - site of the first, international conference devoted to the fledgling but dynamic field of harmonic morphisms. Harmonic Morphisms, Harmonic Maps, and Related Topics reports the proceedings of that conference, forms the first work primarily devoted to harmonic morphisms, bringing together contributions from the founders of the subject, leading specialists, and experts in other related fields. Starting with "The Beginnings of Harmonic Morphisms," which provides the essential background, the first section includes papers on the stability of harmonic morphisms, global properties, harmonic polynomial morphisms, Bochner technique, f-structures, symplectic harmonic morphisms, and discrete harmonic morphisms. The second section addresses the wider domain of harmonic maps and contains some of the most recent results on harmonic maps and surfaces. The final section highlights the rapidly developing subject of constant mean curvature surfaces. Harmonic Morphisms, Harmonic Maps, and Related Topics offers a coherent, balanced account of this fast-growing subject that furnishes a vital reference for anyone working in the field.
Author | : Martin A. Guest |
Publisher | : |
Total Pages | : 121 |
Release | : 1995 |
Genre | : Differential equations |
ISBN | : |
Download Integrable Systems, Loop Groups and Harmonic Maps Book in PDF, ePub and Kindle
Author | : Frederic Hélein |
Publisher | : Birkhäuser |
Total Pages | : 123 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 3034883307 |
Download Constant Mean Curvature Surfaces, Harmonic Maps and Integrable Systems Book in PDF, ePub and Kindle
This book intends to give an introduction to harmonic maps between a surface and a symmetric manifold and constant mean curvature surfaces as completely integrable systems. The presentation is accessible to undergraduate and graduate students in mathematics but will also be useful to researchers. It is among the first textbooks about integrable systems, their interplay with harmonic maps and the use of loop groups, and it presents the theory, for the first time, from the point of view of a differential geometer. The most important results are exposed with complete proofs (except for the last two chapters, which require a minimal knowledge from the reader). Some proofs have been completely rewritten with the objective, in particular, to clarify the relation between finite mean curvature tori, Wente tori and the loop group approach - an aspect largely neglected in the literature. The book helps the reader to access the ideas of the theory and to acquire a unified perspective of the subject.
Author | : Martin A. Guest |
Publisher | : |
Total Pages | : 194 |
Release | : 1997 |
Genre | : |
ISBN | : |
Download Harmonic Maps, Loop Group, and Integrable Book in PDF, ePub and Kindle
Author | : Yuan-Jen Chiang |
Publisher | : Springer Science & Business Media |
Total Pages | : 418 |
Release | : 2013-06-18 |
Genre | : Mathematics |
ISBN | : 3034805349 |
Download Developments of Harmonic Maps, Wave Maps and Yang-Mills Fields into Biharmonic Maps, Biwave Maps and Bi-Yang-Mills Fields Book in PDF, ePub and Kindle
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.
Author | : Katsumi Nomizu |
Publisher | : American Mathematical Soc. |
Total Pages | : 160 |
Release | : 1997 |
Genre | : Mathematics |
ISBN | : 9780821808405 |
Download Selected Papers on Harmonic Analysis, Groups, and Invariants Book in PDF, ePub and Kindle
The five papers originally appeared in Japanese in the journal Sugaku and would ordinarily appear in the Society's translation of that journal, but are published separately here to expedite their dissemination. They explore such aspects as representation theory, differential geometry, invariant theory, and complex analysis. No index. Member prices are $47 for institutions and $35 for individual. Annotation copyrighted by Book News, Inc., Portland, OR.
Author | : Frédéric Hélein |
Publisher | : Cambridge University Press |
Total Pages | : 298 |
Release | : 2002-06-13 |
Genre | : Mathematics |
ISBN | : 9780521811606 |
Download Harmonic Maps, Conservation Laws and Moving Frames Book in PDF, ePub and Kindle
Publisher Description