Geodesic
On infinitesimal automorphisms of almost symplectic structures
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Труды геометрического семинара, Tome 147 (2005) no. 1, pp. 148-153 
V. I. Panzhenskij. On infinitesimal automorphisms of almost symplectic structures. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Труды геометрического семинара, Tome 147 (2005) no. 1, pp. 148-153. http://geodesic.mathdoc.fr/item/UZKU_2005_147_1_a13/
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

On the tangent bundle $TM$ of a manifold $M$ endowed with an almost symplectic structure $\omega$ and a linear connection $\nabla$ compatible with $\omega$, we consider the Riemannian metric $G$ which is Hermitian with respect to the canonical almost complex structure $J$ and the corresponding almost symplectic structure $\Omega$. We study the infinitesimal automorphisms of these structures on $TM$, and, in particular, prove that the dimension of the Lie algebra of natural automorphisms of $G$ and of $\Omega$ is less than or equal to $n(n+3)/2$.

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