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math.DG2015★ 6 cited
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…
math.DG2015★ 13 cited
Decay rates for the quadratic and super-quadratic tilt-excess of integral varifolds
Sławomir Kolasiński, Ulrich Menne
This paper concerns integral varifolds of arbitrary dimension in an open subset of Euclidean space satisfying integrability conditions on their first variation. Firstly, the study…