Polarised Lie groups contactomorphic to stratified groups
Metric Geometry
2020-05-20 v2 Differential Geometry
Abstract
For a stratified group , we construct a class of polarised Lie groups, which we call modifications of , that are locally contactomorphic to it. Vice versa, we show that if a polarised group is locally contactomorphic to a stratified group , whose Lie algebra has finite Tanaka prolongation, then it must be a modification of .
Cite
@article{arxiv.1807.03854,
title = {Polarised Lie groups contactomorphic to stratified groups},
author = {Sebastiano Nicolussi and Alessandro Ottazzi},
journal= {arXiv preprint arXiv:1807.03854},
year = {2020}
}
Comments
20 pages; changes from previous version: reorganization of the paper and improvements in the exposition of the results