Wall singularity of spaces with an upper curvature bound
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2026
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866912862564253696 |
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| author | Nagano, Koichi |
| author_facet | Nagano, Koichi |
| contents | We study typical wall singularity of codimension one for locally compact geodesically complete metric spaces with an upper curvature bound. We provide a geometric structure theorem of codimension one singularity, and a geometric characterization of codimension two regularity. These give us necessary and sufficient conditions for singular sets to be of codimension at least two. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_22673 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Wall singularity of spaces with an upper curvature bound Nagano, Koichi Differential Geometry Metric Geometry 53C20, 53C23 We study typical wall singularity of codimension one for locally compact geodesically complete metric spaces with an upper curvature bound. We provide a geometric structure theorem of codimension one singularity, and a geometric characterization of codimension two regularity. These give us necessary and sufficient conditions for singular sets to be of codimension at least two. |
| title | Wall singularity of spaces with an upper curvature bound |
| topic | Differential Geometry Metric Geometry 53C20, 53C23 |
| url | https://arxiv.org/abs/2601.22673 |