42 citations · 84 across the 6 of their papers we have counts for
7 papers
Stable minimal graphs in Heisenberg group
Giovanna Citti, Matteo Galli
We prove that a strictly stable minimal intrinsic graph G is locally area-minimizing, i.e. given any graph with the same boundary, $\text{Area}(G)<\text{Area}(S…
The regularity of Euclidean Lipschitz boundaries with prescribed mean curvature in three-dimensional contact sub-Riemannian manifolds
Matteo Galli
In this paper we consider a set with prescribed mean curvature and Euclidean Lipschitz boundary inside a three-dimensional contact sub-Rieman…
Sum rules for spin- quantum gases in states with well-defined spins: spin-independent interactions and spin-dependent external fields
Vladimir A. Yurovsky
Analytical expressions are derived for sums of matrix elements and their squared moduli over many-body states with given total spin --- the states built from spin and spatial wavef…
Area-stationary and stable surfaces of class in the sub-Riemannian Heisenberg group
Matteo Galli, Manuel Ritoré
We consider surfaces of class in the -dimensional sub-Riemannian Heisenberg group . Assuming the surface is area-stationary, i.e., a critical point of the s…
On the classification of complete area-stationary and stable surfaces in the sub-Riemannian Sol manifold
Matteo Galli
We study the classification of area-stationary and stable regular surfaces in the space of the rigid motions of the Minkowski plane E(1,1), equipped with its sub-Riemannian s…
First and second variation formulae for the sub-Riemannian area in three-dimensional pseudo-hermitian manifolds
Matteo Galli
We calculate the first and the second variation formula for the sub-Riemannian area in three dimensional pseudo-hermitian manifolds. We consider general variations that can move th…