Geodesic
Witt algebra and the curvature of the Heisenberg group
Communications in Mathematics, Tome 20 (2012) no. 1, pp. 33-40

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The aim of this paper is to determine explicitly the algebraic structure of the curvature algebra of the 3-dimensional Heisenberg group with left invariant cubic metric. We show, that this curvature algebra is an infinite dimensional graded Lie subalgebra of the generalized Witt algebra of homogeneous vector fields generated by three elements.
The aim of this paper is to determine explicitly the algebraic structure of the curvature algebra of the 3-dimensional Heisenberg group with left invariant cubic metric. We show, that this curvature algebra is an infinite dimensional graded Lie subalgebra of the generalized Witt algebra of homogeneous vector fields generated by three elements.
Classification : 17B65, 22E65, 53B40, 53C60
Keywords: Finsler geometry; holonomy; infinite dimensional Lie algebra; Witt algebra 
Muzsnay, Zoltán; Nagy, Péter T. Witt algebra and the curvature of the Heisenberg group. Communications in Mathematics, Tome 20 (2012) no. 1, pp. 33-40. http://geodesic.mathdoc.fr/item/COMIM_2012_20_1_a4/
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