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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2502.17896 |
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| _version_ | 1866929730115076096 |
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| author | Andrews, Ben Wheeler, Glen |
| author_facet | Andrews, Ben Wheeler, Glen |
| contents | We consider an invariant gradient flow for the invariant length functional for co-compact curves in inversive geometry, and prove that solutions exist for all time and converge to loxodromic curves, provided the initial curve is admissible (so that the invariant length element is well defined). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_17896 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The curve-lengthening flow in inversive geometry Andrews, Ben Wheeler, Glen Differential Geometry Analysis of PDEs 53C44 We consider an invariant gradient flow for the invariant length functional for co-compact curves in inversive geometry, and prove that solutions exist for all time and converge to loxodromic curves, provided the initial curve is admissible (so that the invariant length element is well defined). |
| title | The curve-lengthening flow in inversive geometry |
| topic | Differential Geometry Analysis of PDEs 53C44 |
| url | https://arxiv.org/abs/2502.17896 |