.png){kind=icon}
.png){kind=icon}
Return
Cartan flat non-degenerate CR lie groups
.png){kind=icon}
PRE
AI
K
H
DOI：10.1007/s10231-025-01651-3.png)
.png){kind=icon}
Original request for help.png){kind=icon}
Share.png){kind=icon}
Save
Abstract
En 中文
In this paper we determine all the simply connected non-degenerate CR Lie groups, which are flat with respect to the Cartan connection: in terms of associated Lie algebras, we assert that the only Cartan flat non-degenerate CR Lie algebras are su(2), sl(2, R), aff(R) circle plus R, and h(2m+1) with its modifications, where off(R) is the affine Lie algebra of dimension 2 and h(2m+1) is the Heisenberg Lie algebra of dimension 2 m+1. Furthermore, we determine all the (flat and non-flat) non-degenerate CR structures on each of these Lie groups.
Keywords:
CR Lie group
Sasaki Lie group
Cartan connection
Borel subgroup
Modification
Journal
A
IF:
0.9
Papers:
75
Citations:
0
Organization
Cited Papers