Busemann and MCP
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866910137577373696 |
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| author | Fujioka, Tadashi Tashiro, Kenshiro |
| author_facet | Fujioka, Tadashi Tashiro, Kenshiro |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_05740 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Busemann and MCP Fujioka, Tadashi Tashiro, Kenshiro Differential Geometry Metric Geometry 53C23, 53C24, 53C70 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. |
| title | Busemann and MCP |
| topic | Differential Geometry Metric Geometry 53C23, 53C24, 53C70 |
| url | https://arxiv.org/abs/2602.05740 |