Ebook: 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

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Content:
Front Matter....Pages -
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

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Content:
Front Matter....Pages -
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
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