Some two-step and three-step nilpotent Lie groups with small automorphism groups
Dynamical Systems
2007-05-23 v1
Abstract
We construct examples of two-step and three-step nilpotent Lie groups whose automorphism groups are `small' in the sense of either not having a dense orbit for the action on the Lie group, or being nilpotent (the latter being stronger). From the results we get also new examples of compact manifolds covered by two-step simply connected Lie groups, which do not admit Anosov automorphisms.
Cite
@article{arxiv.math/0204344,
title = {Some two-step and three-step nilpotent Lie groups with small automorphism groups},
author = {S. G. Dani},
journal= {arXiv preprint arXiv:math/0204344},
year = {2007}
}
Comments
14 pages