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

S. G. Gindikin (auth.), Heinz-Dietrich Doebner, Tchavdar D. Palev (eds.)9780387119724, 0-387-11972-8

Table of contents :
Integral geometry and twistors….Pages 2-42
Gauge fields and cohomology of analytic sheaves….Pages 43-52
Introduction to twistor particle theory….Pages 53-72
Complex manifolds and Einstein’s equations….Pages 73-99
Infinite dimensional lie groups; their orbits, invariants and representations. The geometry of moments….Pages 101-123
A few remarks on the construction of solutions of non-linear equations….Pages 124-128
Some topics in the theory of singular solutions of nonlinear equations….Pages 129-145
Symmetries and conservation laws of dynamical systems….Pages 146-172
Group-theoretical aspects of completely integrable systems….Pages 173-185
Relativistically invariant models of the field theory integrable by the inverse scattering method….Pages 186-196
Space-time versus phase space approach to relativistic particle dynamics….Pages 197-216