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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.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 Łojasiewicz-Simo…