On geodesic orbit nilmanifolds

Autor: Nikonorov, Yu. G.
Rok vydání: 2024
Předmět:
Druh dokumentu: Working Paper
DOI: 10.1016/j.geomphys.2024.105257
Popis: 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 $10$.
Comment: 16 pages, some typos corrrected
Databáze: arXiv