Soliton surfaces and their applications (soliton geometry from spectral problems)

  • Antoni Sym
Conference paper

DOI: 10.1007/3-540-16039-6_6

Part of the Lecture Notes in Physics book series (LNP, volume 239)
Cite this paper as:
Sym A. (1985) Soliton surfaces and their applications (soliton geometry from spectral problems). In: Martini R. (eds) Geometric Aspects of the Einstein Equations and Integrable Systems. Lecture Notes in Physics, vol 239. Springer, Berlin, Heidelberg

Abstract

The paper contains a complete presentation of the ideas and results of the approach of soliton surfaces (manifolds). In this approach any n-dim. soliton system with a matrix real semi-simple Lie algebra g possesses its own geometry of n-dim. submanifolds of g. Various applications of this approach are discussed. A particular attention is paid to integrable classical string models.

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Copyright information

© Springer-Verlag 1985

Authors and Affiliations

  • Antoni Sym
    • 1
  1. 1.Institute of Theoretical Physics of Warsaw UniversityWarsawPoland

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