most citedHorizontal semiconcavity for the square of Carnot-Carathéodory distance on step 2 Carnot groups and applications to Hamilton-Jacobi equations

2 citations · 2 across the 1 of their papers we have counts for

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2 papers

math.AP2024

Horizontal mean curvature flow as a scaling limit of a mean field equation in the Heisenberg group

Giovanna Citti, Nicolas Dirr, Federica Dragoni +1

We derive curvature flows in the Heisenberg group by formal asymptotic expansion of a nonlocal mean-field equation under the anisotropic rescaling of the Heisenberg group. This is…

math.AP2024★ 2 cited

Horizontal semiconcavity for the square of Carnot-Carathéodory distance on step 2 Carnot groups and applications to Hamilton-Jacobi equations

Federica Dragoni, Qing Liu, Ye Zhang

We show that the square of Carnot-Carathéodory distance from the origin, in step 2 Carnot groups, enjoys the horizontal semiconcavity (h-semiconcavity) everywhere in the group incl…