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math.CA2025
Plateau's Problem for intrinsic graphs in the Heisenberg Group
Roberto Monti, Giacomo Vianello
Using a geometric construction, we solve Plateau's Problem in the Heisenberg group for intrinsic graphs defined on a convex domain , under a smallness condition…
math.DG2025
Not all sub-Riemannian minimizing geodesics are smooth
Yacine Chitour, Frédéric Jean, Roberto Monti +4
A longstanding open question in sub-Riemannian geometry is the following: are sub-Riemannian length minimizers smooth? We give a negative answer to this question, exhibiting an exa…