arXiv subjects

Sebastiano Nicolussi

Publications and source records attributed to Sebastiano Nicolussi.

2 recordsLinked to original sources

arXiv2020

Polarised Lie groups contactomorphic to stratified groups

For a stratified group $G$, we construct a class of polarised Lie groups, which we call modifications of $G$, that are locally contactomorphic to it. Vice versa, we show that if a polarised group is locally contactomorphic to a stratified group $G$, whose Lie algebra has finite Tanaka prolongation, then it must be a modification of $G$.

math.MG↗

arXiv2018

The Bernstein problem for Lipschitz intrinsic graphs in the Heisenberg group

We prove that, in the first Heisenberg group $\mathbb{H}$, an entire locally Lipschitz intrinsic graph admitting vanishing first variation of its sub-Riemannian area and non-negative second variation must be an intrinsic plane, i.e., a coset of a two dimensional subgroup of $\mathbb{H}$. Moreover two examples are given for stressing result's sharpness.

math.DG↗