22 citations · 80 across the 66 of their papers we have counts for
12 papers · 1 filter
Harmonic morphisms of sub-Riemannian Lie groups
Sebastiano Nicolussi Golo, Andrea Pinamonti, Ben Warhurst
We prove that harmonic morphisms between sub-Riemannian Lie groups are smooth, are symmetries of the sub-Riemannian Laplacian and are conformal submersions that satisfy a particula…
A 'global' Perspective on the Differential Geometry of Wasserstein Spaces
Lorenzo Dello Schiavo, Andrea Pinamonti
We develop a global differential calculus on the -Wasserstein space over a closed Riemannian manifold, based on derivations of cylinder functions rather than on the standard p…
A non-convergence phenomenon for the CR Yamabe flow
Claudio Afeltra, Andrea Pinamonti, Pak Tung Ho
We construct a contact form on a three dimensional CR manifold such that the CR Yamabe flow fails to converge. More precisely, on small Rossi deformations of the standard CR three-…
Constant mean curvature surfaces in the sub-Lorentzian Heisenberg group
Samuël Borza, Andrea Pinamonti, Omar Zoghlami
We study constant horizontal mean curvature surfaces in the sub-Lorentzian Heisenberg group. We derive the first-variation formula for horizontal area under volume-preserving radia…
Unexpected phenomena for mean curvature functionals in the Heisenberg group
Mattia Fogagnolo, Andrea Pinamonti, Simone Verzellesi
The Euclidean paradigm that spheres optimize mean curvature variational problems breaks down in the sub-Riemannian Heisenberg group: neither the Pansu sphere nor the Korányi sphere…
Horizontal curvatures of surfaces in 3D contact sub-Riemannian Lie groups
Elia Bubani, Andrea Pinamonti, Ioannis D. Platis +1
In this paper we study horizontal curvatures for surfaces embedded in three-dimensional contact sub-Riemannian Lie groups. Using a Riemannian approximation scheme, we derive explic…