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arXiv · 2505.01991

Very standard homogeneous Finsler manifolds with positive flag curvature

Xiyun Xu·Ming Xu
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Abstract

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 $(\alpha_1,\alpha_2)$ metric in literature. We classify all these $G/H$ which admit positively curved very standard homogeneous Finsler metrics.

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Xiyun Xu, Ming Xu. 2025-05-04. Very standard homogeneous Finsler manifolds with positive flag curvature. https://arxiv.org/abs/2505.01991

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