Janyška J. On the Lie algebra of generators of infinitesimal symmetries almost-cosymplectic-contact structures, talk at The Workshop on Integrable Nonlinear Equations, 18-24 October 2015, Mikulov, Czech Republic (abstract)

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Speaker: Josef Janyška

Title: On the Lie algebra of generators of infinitesimal symmetries almost-cosymplectic-contact structures

Abstract:
An almost-cosymplectic-contact (ACC) structure (pair) on an odd dimensional manifold is given by a pair of a 1-form and a 2-form such that

As an infinitesimal symmetry of the ACC structure we assume a vector field on such that and .

Infinitesimal symmetries are generated by pairs of functions on . We show that generators of infinitesimal symmetries of form a Lie algebra. As an example we describe the Lie algebra of infinitesimal symmetries of the ACC structure of the phase space of the classical spacetime given as the 1-jet space of motions.