6 citations · 6 across the 1 of their papers we have counts for
3 papers
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…
math.DG2019
Intrinsic Lipschitz graphs in Carnot groups of step 2
Daniela Di Donato
We focus our attention on the notion of intrinsic Lipschitz graphs, inside a special class of metric spaces i.e. the Carnot groups. More precisely, we provide a characterization of…
math.DG2018
Intrinsic Differentiability and Intrinsic Regular Surfaces in Carnot Groups
Daniela Di Donato
A Carnot group G is a connected, simply connected, nilpotent Lie group with stratified Lie algebra. Intrinsic regular surfaces in Carnot groups play the same role as C^1 surfaces i…