254 citations · 698 across the 59 of their papers we have counts for
16 papers · 1 filter
A characterization of homogeneous three-dimensional CR manifolds
Jih-Hsin Cheng, Andrea Malchiodi, Paul Yang
We characterize homogeneous three-dimensional CR manifolds, in particular Rossi spheres, as critical points of a certain energy functional that depends on the Webster curvature and…
On the variation of the Einstein-Hilbert action in pseudohermitian geometry
Claudio Afeltra, Jih-Hsin Cheng, Andrea Malchiodi +1
In this paper we compute the first and second variation of the normalized Einstein-Hilbert functional on CR manifolds. We characterize critical points as pseudo-Einstein structures…
Double Bubbles with High Constant Mean Curvatures in Riemannian Manifolds
Gianmichele Di Matteo, Andrea Malchiodi
We obtain existence of double bubbles of large and constant mean curvatures in Riemannian manifolds. These arise as perturbations of geodesic standard double bubbles centered at cr…
On the Sobolev quotient of three-dimensional CR manifolds
Jih-Hsin Cheng, Andrea Malchiodi, Paul Yang
We exhibit examples of compact three-dimensional CR manifolds of positive Webster class, {\em Rossi spheres}, for which the pseudo-hermitian mass as defined in \cite{CMY17} is nega…
A gap theorem for -harmonic maps between two-spheres
Tobias Lamm, Andrea Malchiodi, Mario Micallef
In this paper we consider approximations introduced by Sacks-Uhlenbeck of the harmonic energy for maps from into . We continue the analysis in [6] about limits of -ha…
Foliation by area-constrained Willmore spheres near a non-degenerate critical point of the scalar curvature
Norihisa Ikoma, Andrea Malchiodi, Andrea Mondino
Let be a 3-dimensional Riemannian manifold. The goal of the paper it to show that if is a non-degenerate critical point of the scalar curvature, then a neighbo…