2 papers
math.CA2026
On the Palais-Smale condition in geometric knot theory
Nicolas Freches, Henrik Schumacher, Daniel Steenebrügge +1
We prove that various families of energies relevant in geometric knot theory satisfy the Palais-Smale condition (PS) on submanifolds of arclength para\-metrized knots. These energi…
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…