11 citations · 23 across the 12 of their papers we have counts for
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math.MG2023
Surface measure on, and the local geometry of, sub-Riemannian manifolds
Sebastiano Don, Valentino Magnani
We prove an integral formula for the spherical measure of hypersurfaces in equiregular sub-Riemannian manifolds. Among various technical tools, we establish a general criterion for…
math.MG2020
Distributional solutions of Burgers' type equations for intrinsic graphs in Carnot groups of step 2
Gioacchino Antonelli, Daniela Di Donato, Sebastiano Don
We prove that in arbitrary Carnot groups of step 2, with a splitting with one-dimensional, the graph of a continuous fun…
math.MG2020★ 6 cited
Characterizations of uniformly differentiable co-horizontal intrinsic graphs in Carnot groups
Gioacchino Antonelli, Daniela Di Donato, Sebastiano Don +1
In arbitrary Carnot groups we study intrinsic graphs of maps with horizontal target. These graphs are regular exactly when the map is uniformly intrinsically differentiable…