Twistor Geometry and Non-Linear Systems
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.
- 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.
Physics.
Theoretical, Mathematical and Computational Physics.
QC19.2-20.85
530.1
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.
Physics.
Theoretical, Mathematical and Computational Physics.
QC19.2-20.85
530.1