Glued spaces and lower curvature bounds
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866913477812027392 |
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| author | Ketterer, Christian |
| author_facet | Ketterer, Christian |
| contents | In this short note we survey theorems and provide conjectures on gluing constructions under lower curvature bounds in smooth and non-smooth context. Focusing on synthetic lower Ricci curvature bounds we consider Riemannian manifolds, weighted Riemannian manifolds, Alexandrov spaces, collapsed and non-collapsed $RCD$ spaces, and sub-Riemannian spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_13137 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Glued spaces and lower curvature bounds Ketterer, Christian Differential Geometry Metric Geometry In this short note we survey theorems and provide conjectures on gluing constructions under lower curvature bounds in smooth and non-smooth context. Focusing on synthetic lower Ricci curvature bounds we consider Riemannian manifolds, weighted Riemannian manifolds, Alexandrov spaces, collapsed and non-collapsed $RCD$ spaces, and sub-Riemannian spaces. |
| title | Glued spaces and lower curvature bounds |
| topic | Differential Geometry Metric Geometry |
| url | https://arxiv.org/abs/2408.13137 |