Finsler currents
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866908157488398336 |
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| author | Basso, Giuliano |
| author_facet | Basso, Giuliano |
| contents | We propose a slight variant of Ambrosio and Kirchheim's definition of a metric current. We show that with this new definition it is possible to obtain certain volume functionals from Finsler geometry as mass measures of currents. As an application, we obtain a whole family of extendibly convex $n$-volume densities. This family includes the mass* and the circumscribed Riemannian volume densities. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_18095 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Finsler currents Basso, Giuliano Differential Geometry Metric Geometry 53C23 (Primary) 49Q15, 52A21 (Secondary) We propose a slight variant of Ambrosio and Kirchheim's definition of a metric current. We show that with this new definition it is possible to obtain certain volume functionals from Finsler geometry as mass measures of currents. As an application, we obtain a whole family of extendibly convex $n$-volume densities. This family includes the mass* and the circumscribed Riemannian volume densities. |
| title | Finsler currents |
| topic | Differential Geometry Metric Geometry 53C23 (Primary) 49Q15, 52A21 (Secondary) |
| url | https://arxiv.org/abs/2305.18095 |