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arXiv · 2502.17896

The curve-lengthening flow in inversive geometry

Ben Andrews·Glen Wheeler
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Abstract

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).

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Ben Andrews, Glen Wheeler. 2025-02-25. The curve-lengthening flow in inversive geometry. https://arxiv.org/abs/2502.17896

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