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dg-ga1997
Topology of solutions of the Liouville equation
Wlodzimierz Piechocki
Suggestions concerning the generalization of the geometric quantization to the case of nonlinear field theories are given. Results for the Liouville field theory are presented.
dg-ga1997
Topology of the set of smooth solutions to the Liouville equation
Kazimierz Bragiel, Wlodzimierz Piechocki
We prove that the space of smooth initial data and the set of smooth solutions of the Liouville equation are homeomorphic.
hep-th1997
Relativistic Particle in the Liouville Field
George Jorjadze, Wlodzimierz Piechocki
A model of a relativistic particle moving in the Liouville field is investigated. Symmetry group of the system is . The corresponding dynamical integrals describe full…