Very standard homogeneous Finsler manifolds with positive flag curvature

2025/05/04 by Xiyun Xu, Ming Xu, Xu, Xiyun +1
Physics and Astronomy · #Advanced Differential Geometry Research

paper · pdf · doi:10.48550/arxiv.2505.01991

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 (α₁,α₂) metric in literature. We classify all these G/H which admit positively curved very standard homogeneous Finsler metrics.

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