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math.MG2026
The disjoint disks property for Busemann -spaces
Tadashi Fujioka, Shijie Gu
We prove that every finite-dimensional Busemann \(G\)-space of dimension at least five has the disjoint disks property (DDP). For a sufficiently small metric sphere \(L=S(c,r)\), w…
math.MG2026
Busemann G-spaces with convex balls
Tadashi Fujioka, Shijie Gu
We prove that any Busemann G-space such that every sufficiently small metric ball is convex is a topological manifold. The key ingredient in the proof is Ivanov's Helly theorem. Th…