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Harmonic maps and integrable systems

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Published by F. Vieweg in Braunschweig .
Written in English


  • Harmonic maps.,
  • Integral equations.

Book details:

Edition Notes

Includes bibliographical references and index.

StatementAllan P. Fordy, John C. Wood, eds.
SeriesAspects of mathematics., v. 23
ContributionsFordy, Allan P., Wood, John C.
LC ClassificationsQA614.73 .H36 1994
The Physical Object
Pagination329 p. :
Number of Pages329
ID Numbers
Open LibraryOL1176726M
ISBN 103528065540
LC Control Number94162074

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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 : Martin A. Guest. Harmonic Maps and Integrable Systems. Editors (view affiliations) A. P. Fordy; J. C. Wood Search within book. Front Matter. Pages i-vii. PDF. Introduction and Background Material. A Historical Introduction to Solitons and Bäcklund Transformations. A. P. Fordy. Pages Harmonic maps into symmetric spaces and integrable systems. J. C. Harmonic Maps and Integrable Systems ().pdf writen by Allan P. Fordy, John C. Wood: Harmonic maps are maps between Riemannian or pseudo-Riemannian manifolds which extremize a natural energy integral. They have found many applications, for example, to the theory of minimal and constant m. Constant Mean Curvature Surfaces, Harmonic Maps and Integrable Systems. Authors (view affiliations) Frédéric Hélein; Book. Harmonic maps as an integrable system. Frédéric Hélein. Pages Construction of finite type solutions. Weierstrass type representations. Frédéric Hélein. Pages Back Matter. Pages PDF.

The first is to give an expository account of the integrable systems approach to harmonic maps from surfaces to Lie groups and symmetric spaces, focusing on spectral curves for harmonic : Emma Carberry. One-dimensional and two-dimensional integrable systems 23 From 2 Lax equations to 1 zero-curvature equation 24 Harmonic maps of finite type 25 Application: Harmonic maps from T2 to S2 26 Epilogue References Index tion to harmonic maps. The core of our work is in Chapters 3–6 where we present the analytical methods. We round of the article by describing how twistor theory and integrable systems can be used to construct many more harmonic maps. On the way, we mention harmonic morphisms: maps between Riemannian manifolds which pre-File Size: KB. Buy Constant Mean Curvature Surfaces, Harmonic Maps and Integrable Systems (Lectures in Mathematics. ETH Zürich) on FREE SHIPPING on qualified ordersCited by:

Using basic tools from the first year of university studies, the book leads a reader to the impressive achievements of mathematics of the 21st century; Studying the book, the reader will get acquainted with analytical and harmonic functions, as well as with the main results of the theory of Riemann surfaces. A major international conference was held at the University of Tokyo in July It brought together scientists in all of the areas influenced by integrable systems. This book is the second of three collections of expository and research articles. This volume focuses on topology and physics. After reading several books and articles about integrable systems, and after several years of work in the field, I consider particularly meaningful the following quotation from Frederic Helein's book 'Constant mean curvature surfaces, harmonic maps and integrable systems', Lectures in Mathematics, ETH Zurich, Birkhauser Basel (). Constant Mean Curvature Surfaces, Harmonic Maps and Integrable Systems by Frederic Helein, , available at Book Depository with free delivery worldwide.