On tangent sphere bundles with contact pseudo-metric structures
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2020
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| _version_ | 1866918015943049216 |
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| author | Ghaffarzadeh, Narges Faghfouri, Morteza |
| author_facet | Ghaffarzadeh, Narges Faghfouri, Morteza |
| contents | In this paper, we introduce a contact pseudo-metric structure on a tangent sphere bundle $T_\varepsilon M$. we prove that the tangent sphere bundle $T_{\varepsilon}M$ is $(κ, μ)$-contact pseudo-metric manifold if and only if the manifold $M$ is of constant sectional curvature. Also, we prove that this structure on the tangent sphere bundle is $K$-contact iff the base manifold has constant curvature $\varepsilon$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2003_12600 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | On tangent sphere bundles with contact pseudo-metric structures Ghaffarzadeh, Narges Faghfouri, Morteza Differential Geometry In this paper, we introduce a contact pseudo-metric structure on a tangent sphere bundle $T_\varepsilon M$. we prove that the tangent sphere bundle $T_{\varepsilon}M$ is $(κ, μ)$-contact pseudo-metric manifold if and only if the manifold $M$ is of constant sectional curvature. Also, we prove that this structure on the tangent sphere bundle is $K$-contact iff the base manifold has constant curvature $\varepsilon$. |
| title | On tangent sphere bundles with contact pseudo-metric structures |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2003.12600 |