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20192021
most citedArea of intrinsic graphs and coarea formula in Carnot Groups

4 citations · 4 across the 2 of their papers we have counts for

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math.CA2020★ 4 cited

Area of intrinsic graphs and coarea formula in Carnot Groups

Antoine Julia, Sebastiano Nicolussi Golo, Davide Vittone

We consider submanifolds of sub-Riemannian Carnot groups with intrinsic regularity (). Our first main result is an area formula for intrinsic graphs; as an app…

math.CA2020

Intrinsic rectifiability via flat cones in the Heisenberg group

Antoine Julia, Sebastiano Nicolussi Golo

We give a geometric criterion for a topological surface in the first Heisenberg group to be an intrinsic Lipschitz graph, using planar cones instead of the usual open cones.