Daniele Morbidelli

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20052019

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math.MG2019

Multiexponential maps in Carnot groups with applications to convexity and differentiability

Annamaria Montanari, Daniele Morbidelli

We analyze some properties of a class of multiexponential maps appearing naturally in the geometric analysis of Carnot groups. We will see that such maps can be useful in at least…

math.MG2018

On the inner cone property for convex sets in two-step Carnot groups, with applications to monotone sets

Daniele Morbidelli

In the setting of step two Carnot groups, we show a "cone property" for horizontally convex sets. Namely we prove that, given a horizontally convex set $C$ , a pair of points $P\in…

math.MG2018

John and uniform domains in generalized Siegel boundaries

Roberto Monti, Daniele Morbidelli

Given the pair of vector fields $X = \partial_{x} + ∣ z ∣^{2 m} y \partial_{t}$ and $Y = \partial_{y} - ∣ z ∣^{2 m} x \partial_{t},$ where $(x, y, t) = (z, t) \in R^{3} = C \times R$ , we gi…

math.MG2005

Stability of isometric maps in the Heisenberg group

Nicola Arcozzi, Daniele Morbidelli

In this paper we prove some approximation results for biLipschitz maps in the Heisenberg group. Namely, we show that a biLipschitz map with biLipschitz constant close to one can be…