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arXiv · 2602.05740

Busemann and MCP

Tadashi Fujioka·Kenshiro Tashiro
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Abstract

We study the structure of Busemann spaces with measures satisfying the measure contraction property (MCP). The main results are rigidity theorems and structure theorems under the assumption of geodesic completeness or non-collapse. The appendix contains some observations on the tangent cones of geodesically complete Busemann spaces.

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Tadashi Fujioka, Kenshiro Tashiro. 2026-02-05. Busemann and MCP. https://arxiv.org/abs/2602.05740

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