On infinitesimal automorphisms of almost symplectic structures on tangent bundle of generalized Lagrangian space
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Труды геометрического семинара, Tome 147 (2005) no. 1, pp. 154-158 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice du chapitre de livre

Almost symplectic structure is defined on tangent bundle of generalized Lagrange space. It is proved that natural infinitesimal transformation is infinitesimal automorphism of almost symplectic structure if and only if it is infinitesimal motion of generalized Lagrange space. If arbitrary infinitesimal automorphism conserves certain linear connection and foliate structure then dimensionality of algebra Lie of automorphisms not exceed $n(3n+5)/2$, $n$ — dimensionality of basis manifold.
@article{UZKU_2005_147_1_a14,
     author = {M. V. Sorokina},
     title = {On infinitesimal automorphisms of almost symplectic structures on tangent bundle of generalized {Lagrangian} space},
     journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
     pages = {154--158},
     year = {2005},
     volume = {147},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/UZKU_2005_147_1_a14/}
}
TY  - JOUR
AU  - M. V. Sorokina
TI  - On infinitesimal automorphisms of almost symplectic structures on tangent bundle of generalized Lagrangian space
JO  - Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki
PY  - 2005
SP  - 154
EP  - 158
VL  - 147
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/UZKU_2005_147_1_a14/
LA  - ru
ID  - UZKU_2005_147_1_a14
ER  - 
%0 Journal Article
%A M. V. Sorokina
%T On infinitesimal automorphisms of almost symplectic structures on tangent bundle of generalized Lagrangian space
%J Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki
%D 2005
%P 154-158
%V 147
%N 1
%U http://geodesic.mathdoc.fr/item/UZKU_2005_147_1_a14/
%G ru
%F UZKU_2005_147_1_a14
M. V. Sorokina. On infinitesimal automorphisms of almost symplectic structures on tangent bundle of generalized Lagrangian space. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Труды геометрического семинара, Tome 147 (2005) no. 1, pp. 154-158. http://geodesic.mathdoc.fr/item/UZKU_2005_147_1_a14/

[1] Shapukov B. N., “Avtomorfizmy rassloennykh prostranstv”, Tr. geom. sem., 14, Izd-vo Kazan. un-ta, Kazan, 1982, 97–108 | MR

[2] Eizenkhart L. P., Nepreryvnye gruppy preobrazovanii, IL, M., 1947