2 papers
math.DG2025
On a Complete Riemannian Metric on the Space of Embedded Curves
Elias Döhrer, Philipp Reiter, Henrik Schumacher
We propose a new strong Riemannian metric on the manifold of (parametrized) embedded curves of regularity , . We highlight its close relationship to the (generali…
math.GT2025
Stability of knot equivalence at low regularity, and symmetric critical knots for the Möbius energy
Simon Blatt, Alexandra Gilsbach, Philipp Reiter +1
We present sufficient criteria for the equivalence of tame knots at low regularity. To this end, we introduce a localized version of Gromov's distortion for any closed path-connect…