2 papers
math.DG2026
Jellyfish exist
Ben Andrews, Glen Wheeler
We show the existence of infinitely many geometrically distinct homothetic expanders (jellyfish) for the elastic flow, epicyclic shrinkers for the curve diffusion flow, and epicycl…
math.DG2025
The curve-lengthening flow in inversive geometry
Ben Andrews, Glen Wheeler
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…