Classification of Douglas $(α,β)$-metrics on five dimensional nilpotent Lie groups
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2019
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| _version_ | 1866913438090919936 |
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| author | Hosseini, Masoumeh Moghaddam, Hamid Reza Salimi |
| author_facet | Hosseini, Masoumeh Moghaddam, Hamid Reza Salimi |
| contents | In this paper we classify all simply connected five dimensional nilpotent Lie groups which admit $(α,β)$-metrics of Berwald and Douglas type defined by a left invariant Riemannian metric and a left invariant vector field. During this classification we give the geodesic vectors, Levi-Civita connection, curvature tensor, sectional curvature and $S$-curvature. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1912_13406 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Classification of Douglas $(α,β)$-metrics on five dimensional nilpotent Lie groups Hosseini, Masoumeh Moghaddam, Hamid Reza Salimi Differential Geometry 22E60, 53C60 In this paper we classify all simply connected five dimensional nilpotent Lie groups which admit $(α,β)$-metrics of Berwald and Douglas type defined by a left invariant Riemannian metric and a left invariant vector field. During this classification we give the geodesic vectors, Levi-Civita connection, curvature tensor, sectional curvature and $S$-curvature. |
| title | Classification of Douglas $(α,β)$-metrics on five dimensional nilpotent Lie groups |
| topic | Differential Geometry 22E60, 53C60 |
| url | https://arxiv.org/abs/1912.13406 |