1 results
Sur les algèbres de Lie associées à une connexion
-
- Journal:
- Canadian Mathematical Bulletin / Volume 58 / Issue 4 / 01 December 2015
- Published online by Cambridge University Press:
- 20 November 2018, pp. 692-703
- Print publication:
- 01 December 2015
-
- Article
-
- You have access
- Export citation
-
Let
$\Gamma$ be a connection on a smooth manifold 
$M$. In this paper we give some properties of $\Gamma$ by studying the corresponding Lie algebras. In particular, we compute the first Chevalley–Eilenberg cohomology space of the horizontal vector fields Lie algebra on the tangent bundle of $M$, whose the corresponding Lie derivative of $\Gamma$ is null, and of the horizontal nullity curvature space.
