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
Herausgegeben:Doebner, H. D.; Palev, T. D.

• Broschiertes Buch

Produktbeschreibung

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.

Produktdetails

• Lecture Notes in Mathematics 970
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-540-11972-2
• 1982
• Seitenzahl: 228
• Erscheinungstermin: 1. Dezember 1982
• Englisch
• Abmessung: 235mm x 155mm x 13mm
• Gewicht: 351g
• ISBN-13: 9783540119722
• ISBN-10: 3540119728
• Artikelnr.: 23523462

Inhaltsangabe

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.