On geodesic orbit nilmanifolds
Differential Geometry
2024-08-20 v2
Abstract
The paper is devoted to the study of geodesic orbit Riemannian metrics on nilpotent Lie groups. The main result is the construction of continuous families of pairwise non-isomorphic connected and simply connected nilpotent Lie groups, every of which admits geodesic orbit metrics. The minimum dimension of groups in the constructed families is .
Cite
@article{arxiv.2402.17548,
title = {On geodesic orbit nilmanifolds},
author = {Yu. G. Nikonorov},
journal= {arXiv preprint arXiv:2402.17548},
year = {2024}
}
Comments
16 pages, some typos corrrected