Naturally reductive homogeneous $(α,β)$-metric spaces
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2013
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| _version_ | 1866916330504978432 |
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| author | Parhizkar, Mojtaba Moghaddam, Hamid Reza Salimi |
| author_facet | Parhizkar, Mojtaba Moghaddam, Hamid Reza Salimi |
| contents | In the present paper we study naturally reductive homogeneous $(α,β)$-metric spaces. Under some conditions, we give some necessary and sufficient conditions for a homogeneous $(α,β)$-metric space to be naturally reductive. Then we show that for such spaces the two definitions of naturally reductive homogeneous Finsler space, given in literature, are equivalent. Finally we compute the flag curvature of naturally reductive homogeneous $(α,β)$-metric spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1305_5994 |
| institution | arXiv |
| publishDate | 2013 |
| record_format | arxiv |
| spellingShingle | Naturally reductive homogeneous $(α,β)$-metric spaces Parhizkar, Mojtaba Moghaddam, Hamid Reza Salimi Differential Geometry 53C60, 53C30 In the present paper we study naturally reductive homogeneous $(α,β)$-metric spaces. Under some conditions, we give some necessary and sufficient conditions for a homogeneous $(α,β)$-metric space to be naturally reductive. Then we show that for such spaces the two definitions of naturally reductive homogeneous Finsler space, given in literature, are equivalent. Finally we compute the flag curvature of naturally reductive homogeneous $(α,β)$-metric spaces. |
| title | Naturally reductive homogeneous $(α,β)$-metric spaces |
| topic | Differential Geometry 53C60, 53C30 |
| url | https://arxiv.org/abs/1305.5994 |