On geodesic orbit nilmanifolds
arXiv:2402.17548 · doi:10.1016/j.geomphys.2024.105257
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 .
16 pages, some typos corrrected