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math.DG2026
Finsler structure of Busemann G-spaces
Tadashi Fujioka, Shijie Gu
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 re…
math.DG2025
Topological regularity of Busemann spaces of nonpositive curvature
Tadashi Fujioka, Shijie Gu
We extend the topological results of Lytchak-Nagano and Lytchak-Nagano-Stadler for CAT(0) spaces to the setting of Busemann spaces of nonpositive curvature, i.e., BNPC spaces. We g…