Finsler structure of Busemann G-spaces
classification
🧮 math.DG
math.MG
keywords
finslerbusemannconditionsg-spacesadmitalexandrovatlasbounds
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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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