13 citations · 63 across the 19 of their papers we have counts for
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math.MG2016★ 6 cited
Improved Lipschitz approximation of -perimeter minimizing boundaries
Roberto Monti, Giorgio Stefani
We prove two new approximation results of -perimeter minimizing boundaries by means of intrinsic Lipschitz functions in the setting of the Heisenberg group with $…
math.MG2016★ 4 cited
CMC spheres in the Heisenberg group
Valentina Franceschi, Francescopaolo Montefalcone, Roberto Monti
We study a family of spheres with constant mean curvature (CMC) in the Riemannian Heisenberg group . These spheres are conjectured to be the isoperimetric sets of . We pr…
math.OC2016
Existence of tangent lines to Carnot-Carathéodory geodesics
Roberto Monti, Alessandro Pigati, Davide Vittone
We show that length minimizing curves in Carnot-Carathéodory spaces possess at any point at least one tangent curve (i.e., a blow-up in the nilpotent approximation) equal to a stra…