3 papers
math.CA2026
A Fenchel Theorem for the Gauss maps and uniqueness of minimizers of nonlocal curvature energies
Elias Döhrer, Alexander Dohmen
In this paper, we prove a Fenchel theorem for Gauss maps by providing sharp lower bounds for the path length of Gauss maps of an embedding. By combining the Fenchel-type theorem wi…
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.CA2025
Convergence of gradient flows on knotted curves
Elias Döhrer, Nicolas Freches
We prove full convergence of gradient-flows of the arc-length restricted tangent point energies in the Hilbert-case towards critical points. This is done through a Åojasiewicz-Sim…