Non-smooth paths having unit speed with respect to the Kobayashi metric, and their applications
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866909984633126912 |
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| author | Bharali, Gautam Masanta, Rumpa |
| author_facet | Bharali, Gautam Masanta, Rumpa |
| contents | We investigate the question of whether a non-constant absolutely continuous path can be reparametrized to be of unit speed with respect to the Kobayashi metric and be absolutely continuous. Even when the answer is "Yes," which isn't always the case, its proof involves some subtleties. We answer the above question and discuss several applications. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_03709 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Non-smooth paths having unit speed with respect to the Kobayashi metric, and their applications Bharali, Gautam Masanta, Rumpa Metric Geometry Complex Variables 32F45, 32Q45 (Primary) 53C23 (Secondary) We investigate the question of whether a non-constant absolutely continuous path can be reparametrized to be of unit speed with respect to the Kobayashi metric and be absolutely continuous. Even when the answer is "Yes," which isn't always the case, its proof involves some subtleties. We answer the above question and discuss several applications. |
| title | Non-smooth paths having unit speed with respect to the Kobayashi metric, and their applications |
| topic | Metric Geometry Complex Variables 32F45, 32Q45 (Primary) 53C23 (Secondary) |
| url | https://arxiv.org/abs/2409.03709 |