Mathematical Research Letters

Volume 22 (2015)

Number 1

On a remarkable formula of Jerison and Lee in CR geometry

Pages: 279 – 299



Xiaodong Wang (Department of Mathematics, Michigan State University, East Lansing, Mich., U.S.A.)


We discuss a remarkable formula discovered by Jerison and Lee to classify constant scalar curvature pseudohermitian structures on the sphere. We show that the formula is valid in the wider context of Einstein pseudohermitian manifolds. As an application we prove a uniqueness result that generalizes the theorem of Jerison and Lee.

Accepted 4 December 2014

Published 13 April 2015