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arXiv · 2606.13346

Finsler structure of Busemann G-spaces

Tadashi Fujioka·Shijie Gu
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Abstract

We provide two sufficient conditions for a Busemann G-space to admit a differentiable DC atlas with a continuous Finsler metric, from the viewpoint of comparison geometry. These results generalize previous work on G-spaces with Riemannian curvature bounds, namely the Alexandrov and CAT conditions, to the Finsler setting.

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Tadashi Fujioka, Shijie Gu. 2026-06-11. Finsler structure of Busemann G-spaces. https://arxiv.org/abs/2606.13346

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