Euclidean rectifiability of sub-Finsler spheres in free-Carnot groups of step 2
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866917614622605312 |
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| author | Donne, Enrico Le Nalon, Luca |
| author_facet | Donne, Enrico Le Nalon, Luca |
| contents | We consider 2-step free-Carnot groups equipped with sub-Finsler distances. We prove that the metric spheres are codimension-one rectifiable from the Euclidean viewpoint. The result is obtained by studying how the Lipschitz constant for the distance function behaves near abnormal geodesics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_10196 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Euclidean rectifiability of sub-Finsler spheres in free-Carnot groups of step 2 Donne, Enrico Le Nalon, Luca Metric Geometry Optimization and Control 22E25, 53C17, 28A75 We consider 2-step free-Carnot groups equipped with sub-Finsler distances. We prove that the metric spheres are codimension-one rectifiable from the Euclidean viewpoint. The result is obtained by studying how the Lipschitz constant for the distance function behaves near abnormal geodesics. |
| title | Euclidean rectifiability of sub-Finsler spheres in free-Carnot groups of step 2 |
| topic | Metric Geometry Optimization and Control 22E25, 53C17, 28A75 |
| url | https://arxiv.org/abs/2403.10196 |