2 papers
math.CA2025
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.DG2020
M{ö}bius-invariant self-avoidance energies for non-smooth sets in arbitrary dimensions
Bastian Käfer, Heiko von der Mosel
In the present paper we investigate generalizations of O'Hara's Möbius energy on curves \cite{ohara_1991a}, to Möbius-invariant energies on non-smooth subsets of of arbitrar…