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 / [electronic resource] : edited by Heinz-Dietrich Doebner, Tchavdar D. Palev. - Berlin, Heidelberg : Springer Berlin Heidelberg, 1982. - VIII, 220 p. online resource. - Lecture Notes in Mathematics, 970 0075-8434 ; . - Lecture Notes in Mathematics, 970 .

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.

9783540394181

10.1007/BFb0066021 doi


Physics.
Mathematical physics.
Physics.
Mathematical and Computational Physics.

QC19.2-20.85

530.1
The Institute of Mathematical Sciences, Chennai, India

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