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. Includes Bibliographical References. 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