67 citations · 132 across the 18 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.CA2014★ 11 cited
Height estimate and slicing formulas in the Heisenberg group
Roberto Monti, Davide Vittone
We prove a height-estimate (distance from the tangent hyperplane) for -minima of the perimeter in the sub-Riemannian Heisenberg group. The estimate is in terms of a power of the…
math.CA2006
An intrinsic measure for submanifolds in stratified groups
V. Magnani, D. Vittone
For each submanifold of a stratified group, we find a number and a measure only depending on its tangent bundle, the grading and the fixed Riemannian metric. In two step stratified…