On Lie algebras of generators of infinitesimal symmetries of almost-cosymplectic-contact structures
Archivum mathematicum, Tome 52 (2016) no. 5, pp. 325-339
Voir la notice de l'article provenant de la source Czech Digital Mathematics Library
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.
DOI :
10.5817/AM2016-5-325
Classification :
53C15
Keywords: almost-cosymplectic-contact structure; almost-coPoisson-Jacobi structure; infinitesimal symmetry; Lie algebra
Keywords: almost-cosymplectic-contact structure; almost-coPoisson-Jacobi structure; infinitesimal symmetry; Lie algebra
@article{10_5817_AM2016_5_325,
author = {Jany\v{s}ka, Josef},
title = {On {Lie} algebras of generators of infinitesimal symmetries of almost-cosymplectic-contact structures},
journal = {Archivum mathematicum},
pages = {325--339},
publisher = {mathdoc},
volume = {52},
number = {5},
year = {2016},
doi = {10.5817/AM2016-5-325},
mrnumber = {3610867},
zbl = {06674908},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.5817/AM2016-5-325/}
}
TY - JOUR AU - Janyška, Josef TI - On Lie algebras of generators of infinitesimal symmetries of almost-cosymplectic-contact structures JO - Archivum mathematicum PY - 2016 SP - 325 EP - 339 VL - 52 IS - 5 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.5817/AM2016-5-325/ DO - 10.5817/AM2016-5-325 LA - en ID - 10_5817_AM2016_5_325 ER -
%0 Journal Article %A Janyška, Josef %T On Lie algebras of generators of infinitesimal symmetries of almost-cosymplectic-contact structures %J Archivum mathematicum %D 2016 %P 325-339 %V 52 %N 5 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.5817/AM2016-5-325/ %R 10.5817/AM2016-5-325 %G en %F 10_5817_AM2016_5_325
Janyška, Josef. On Lie algebras of generators of infinitesimal symmetries of almost-cosymplectic-contact structures. Archivum mathematicum, Tome 52 (2016) no. 5, pp. 325-339. doi: 10.5817/AM2016-5-325
Cité par Sources :