Compactness and isotopy finiteness for submanifolds with uniformly bounded geometric curvature energies

Sławomir Kolasiński, Paweł Strzelecki, Heiko von der Mosel

In this paper, we establish compactness for various geometric curvature energies including integral Menger curvature, and tangent-point repulsive potentials, defined a priori on th…