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Harmonic Maps and Integrable Systems de John C. Wood

Harmonic Maps and Integrable Systems: Aspects of Mathematics, cartea E 23

Autor John C. Wood
de Limba Germană Paperback – 1994

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Specificații

ISBN-13: 9783528065546
ISBN-10: 3528065540
Pagini: 340
Ilustrații: VII, 330 S. 7 Abb.
Dimensiuni: 155 x 235 x 19 mm
Greutate: 0.52 kg
Ediția:Softcover reprint of the original 1st ed. 1994
Editura: Vieweg+Teubner Verlag
Colecția Aspects of Mathematics
Seria Aspects of Mathematics

Locul publicării:Wiesbaden, Germany

Public țintă

Research

Cuprins

and background material.- Introduction,.- A historical introduction to solitons and Bäcklund tranformations,.- Harmonic maps into symmetric spaces and integrable systems,.- The geometry of surfaces.- The affine Toda equations and miminal surfaces,.- Surfaces in terms of 2 by 2 matrices: Old and new integrable cases,.- Integrable systems, harmonic maps and the classical theory of solitons,.- Sigma and chiral models.- The principal chiral model as an integrable system,.- 2-dimensional nonlinear sigma models: Zero curvature and Poisson structure,.- Sigma models in 2 + 1 dimensions,.- The algebraic approach.- Infinite dimensional Lie groups and the two-dimensional Toda lattice,.- Harmonic maps via Adler-Kostant-Symes theory,.- Loop group actions on harmonic maps and their applications,.- The twistor approach.- Twistors, nilpotent orbits and harmonic maps,.