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

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

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 
@article{COMIM_2012__20_1_a4,
     author = {Muzsnay, Zolt\'an and Nagy, P\'eter T.},
     title = {Witt algebra and the curvature of the {Heisenberg} group},
     journal = {Communications in Mathematics},
     pages = {33--40},
     publisher = {mathdoc},
     volume = {20},
     number = {1},
     year = {2012},
     mrnumber = {3001630},
     zbl = {06202717},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/COMIM_2012__20_1_a4/}
}
TY  - JOUR
AU  - Muzsnay, Zoltán
AU  - Nagy, Péter T.
TI  - Witt algebra and the curvature of the Heisenberg group
JO  - Communications in Mathematics
PY  - 2012
SP  - 33
EP  - 40
VL  - 20
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/COMIM_2012__20_1_a4/
LA  - en
ID  - COMIM_2012__20_1_a4
ER  - 
%0 Journal Article
%A Muzsnay, Zoltán
%A Nagy, Péter T.
%T Witt algebra and the curvature of the Heisenberg group
%J Communications in Mathematics
%D 2012
%P 33-40
%V 20
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/COMIM_2012__20_1_a4/
%G en
%F COMIM_2012__20_1_a4
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/