51 citations · 222 across the 41 of their papers we have counts for
41 papers
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…
The Neumann problem on the Clifford torus in
Jeffrey S. Case, Eric Chen, Yi Wang +2
We discuss the solution of the Neumann problem associated with the CR Yamabe operator on a subset of the CR manifold bounded by the Clifford torus . We also d…
A CR invariant sphere theorem
Jeffrey S. Case, Paul Yang
We prove that every closed, universally embeddable CR three-manifold with nonnegative Yamabe constant and positive total -curvature is contact diffeomorphic to a quotient…
Scattering on singular Yamabe spaces
Sun-Yung Alice Chang, Stephen E. McKeown, Paul Yang
We apply scattering theory on asymptotically hyperbolic manifolds to singular Yamabe metrics, applying the results to the study of the conformal geometry of compact manifolds with…
Quasiconformal Flows on non-Conformally Flat Spheres
Sun-Yung Alice Chang, Eden Prywes, Paul Yang
We study integral curvature conditions for a Riemannian metric on that quantify the best bilipschitz constant between and the standard metric on . Our resu…
The Lichnerowicz--Obata theorem for the Kohn Laplacian in three dimensions
Jeffrey S. Case, Paul Yang
We prove rigidity for the Lichnerowicz-type eigenvalue estimate for the Kohn Laplacian on strictly pseudoconvex three-manifolds with nonnegative CR Paneitz operator and positive We…