42 citations · 159 across the 17 of their papers we have counts for
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math.DG2017★ 2 cited
A priori bounds for geodesic diameter. Part III. A Sobolev-Poincaré inequality and applications to a variety of geometric variational problems
Ulrich Menne, Christian Scharrer
Based on a novel type of Sobolev-Poincaré inequality (for generalised weakly differentiable functions on varifolds), we establish a finite upper bound of the geodesic diameter of g…
math.DG2017★ 4 cited
The concept of varifold
Ulrich Menne
We survey - by means of 20 examples - the concept of varifold, as generalised submanifold, with emphasis on regularity of integral varifolds with mean curvature, while keeping prer…
math.CA2017★ 3 cited
A geometric second-order-rectifiable stratification for closed subsets of Euclidean space
Ulrich Menne, Mario Santilli
Defining the -th stratum of a closed subset of an dimensional Euclidean space to consist of those points, where it can be touched by a ball from at least linearly inde…