On geodesic orbit nilmanifolds
Fuente:
arXiv
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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866911992009195520 |
|---|---|
| author | Nikonorov, Yu. G. |
| author_facet | Nikonorov, Yu. G. |
| contents | 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 $10$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_17548 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On geodesic orbit nilmanifolds Nikonorov, Yu. G. Differential Geometry 53C20, 53C25, 53C30, 17B30, 22E25 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 $10$. |
| title | On geodesic orbit nilmanifolds |
| topic | Differential Geometry 53C20, 53C25, 53C30, 17B30, 22E25 |
| url | https://arxiv.org/abs/2402.17548 |