Very standard homogeneous Finsler manifolds with positive flag curvature
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866909600832290816 |
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| author | Xu, Xiyun Xu, Ming |
| author_facet | Xu, Xiyun Xu, Ming |
| contents | In this paper, we consider a homogeneous manifold $G/H$ in which $G$ is a compact connected simply connected simple Lie group and $H$ is a closed connected subgroup of $G$. We define standard and very standard homogeneous Finsler metrics on $G/H$, which generalize the standard homogeneous $(α_1,α_2)$ metric in literature. We classify all these $G/H$ which admit positively curved very standard homogeneous Finsler metrics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_01991 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Very standard homogeneous Finsler manifolds with positive flag curvature Xu, Xiyun Xu, Ming Differential Geometry In this paper, we consider a homogeneous manifold $G/H$ in which $G$ is a compact connected simply connected simple Lie group and $H$ is a closed connected subgroup of $G$. We define standard and very standard homogeneous Finsler metrics on $G/H$, which generalize the standard homogeneous $(α_1,α_2)$ metric in literature. We classify all these $G/H$ which admit positively curved very standard homogeneous Finsler metrics. |
| title | Very standard homogeneous Finsler manifolds with positive flag curvature |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2505.01991 |