# 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)

**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.