Publication details

On Lie algebras of generators of infinitesimal symmetries of almost-cosymplectic-contact structures

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Authors

JANYŠKA Josef

Year of publication 2016
Type Article in Periodical
Magazine / Source Archivum Mathematicum
MU Faculty or unit

Faculty of Science

Citation
Web http://www.emis.de/journals/AM/16-5
Doi http://dx.doi.org/10.5817/AM2016-5-325
Field General mathematics
Keywords infinitesima symmetry; almost-cosymplectic-contact structure; Lie algebra
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Description We study Lie algebras of generators of infinitesimal symmetries of almost-cosymplectic-contact structures of odd dimensional manifolds. The almost-cosymplectic-contact structure admits on the sheaf of pairs of 1-forms and functions the structure of a Lie algebra. We describe Lie subalgebras in this Lie algebra given by pairs generating infinitesimal symmetries of basic tensor fields given by the almost-cosymplectic-contact structure.
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