Distance Functions, Curvature and Topology
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | |
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| _version_ | 1866910027253547008 |
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| author | Mantegazza, Carlo Oronzio, Francesca |
| author_facet | Mantegazza, Carlo Oronzio, Francesca |
| contents | We discuss some properties of the distance functions on Riemannian manifolds and we relate their behavior to the geometry of the manifolds. This leads to alternative proofs of some "classical" theorems connecting curvature and topology. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_17629 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Distance Functions, Curvature and Topology Mantegazza, Carlo Oronzio, Francesca Differential Geometry Analysis of PDEs 53C22, 53C21, 53C24 We discuss some properties of the distance functions on Riemannian manifolds and we relate their behavior to the geometry of the manifolds. This leads to alternative proofs of some "classical" theorems connecting curvature and topology. |
| title | Distance Functions, Curvature and Topology |
| topic | Differential Geometry Analysis of PDEs 53C22, 53C21, 53C24 |
| url | https://arxiv.org/abs/2602.17629 |