Sławomir Kolasiński

activity

20102026

most citedUniqueness of critical points of the anisotropic isoperimetric problem for finite perimeter sets

20 citations · 147 across the 16 of their papers we have counts for

collaborators

Showing 2015Show all

3 papers · 1 filter

math.CA2015★ 4 cited

Higher order rectifiability of measures via averaged discrete curvatures

Sławomir Kolasiński

We provide a sufficient geometric condition for $R^{n}$ to be countably $(μ, m)$ rectifiable of class $C^{1, α}$ (using the terminology of Federer), where $μ$ is a R…

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…