4 papers
On minimizing surfaces of the CR invariant energy
Jih-Hsin Cheng, Hung-Lin Chiu, Paul Yang +1
We study a CR-invariant equation for vanishing surfaces in the 3-dimensional Heisenberg group. This is shown to be a hyperbolic equation. We prove the local uniqueness theore…
On the Poincaré-Einstein manifolds with cylindrical conformal infinity
Sun-Yung Alice Chang, Paul Yang, Ruobing Zhang
In this paper, we prove several rigidity and quantitative rigidity results for asymptotically hyperbolic Poincaré-Einstein manifolds whose conformal infinities are diffeomorphic to…
A fourth-order Cherrier-Escobar problem with prescribed corner behavior on the half-ball
Jeffrey S. Case, Yueh-Ju Lin, Stephen E. McKeown +2
We show that the half-ball in can be conformally changed so that the only contribution to the Gauss--Bonnet formula is a constant term at the corner. This may be see…
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…