Twistor geometry and non-linear systems : review lectures given at the 4th Bulgarian Summer School on Mathematical Problems of Quantum Field Theory, held at Primorsko, Bulgaria, September 1980

書誌事項

Twistor geometry and non-linear systems : review lectures given at the 4th Bulgarian Summer School on Mathematical Problems of Quantum Field Theory, held at Primorsko, Bulgaria, September 1980

edited by H.D. Doebner and T.D. Palev

(Lecture notes in mathematics, 970)

Springer-Verlag, 1982

  • : Berlin
  • : New York

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注記

Includes bibliographical references

内容説明・目次

目次

  • Integral geometry and twistors.- Gauge fields and cohomology of analytic sheaves.- to twistor particle theory.- Complex manifolds and Einstein's equations.- Infinite dimensional lie groups
  • their orbits, invariants and representations. The geometry of moments.- A few remarks on the construction of solutions of non-linear equations.- Some topics in the theory of singular solutions of nonlinear equations.- Symmetries and conservation laws of dynamical systems.- Group-theoretical aspects of completely integrable systems.- Relativistically invariant models of the field theory integrable by the inverse scattering method.- Space-time versus phase space approach to relativistic particle dynamics.

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