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math.GT2013
Discrete Möbius Energy
Sebastian Scholtes
We investigate a discrete version of the Möbius energy, that is of geometric interest in its own right and is defined on equilateral polygons with segments. We show that the $Γ…
math.DG2013★ 5 cited
On hypersurfaces of positive reach, alternating Steiner formulae and Hadwiger's Problem
Sebastian Scholtes
We give new characterisations of sets of positive reach and show that a closed hypersurface has positive reach if and only if it is of class . These results are then used…