R. Monti

activity

20052025

most citedIsoperimetric problem in H-type groups and Grushin spaces

13 citations · 63 across the 19 of their papers we have counts for

collaborators

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4 papers · 1 filter

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.MG2017

On tangent cones to length minimizers in Carnot-Carathéodory spaces

Roberto Monti, Alessandro Pigati, Davide Vittone

We give a detailed proof of some facts about the blow-up of horizontal curves in Carnot-Carathéodory spaces.

math.MG2016★ 6 cited

Improved Lipschitz approximation of $H$ -perimeter minimizing boundaries

Roberto Monti, Giorgio Stefani

We prove two new approximation results of $H$ -perimeter minimizing boundaries by means of intrinsic Lipschitz functions in the setting of the Heisenberg group $H^{n}$ with $…

math.MG2016★ 4 cited

CMC spheres in the Heisenberg group

Valentina Franceschi, Francescopaolo Montefalcone, Roberto Monti

We study a family of spheres with constant mean curvature (CMC) in the Riemannian Heisenberg group $H^{1}$ . These spheres are conjectured to be the isoperimetric sets of $H^{1}$ . We pr…

John and uniform domains in generalized Siegel boundaries

On tangent cones to length minimizers in Carnot-Carathéodory spaces

Improved Lipschitz approximation of H-perimeter minimizing boundaries

CMC spheres in the Heisenberg group

Improved Lipschitz approximation of $H$ -perimeter minimizing boundaries