On a remarkable formula of Jerison and Lee in CR geometry

2013/08/23 by Xiaodong Wang, Wang, Xiaodong
Mathematics · Physics and Astronomy · #Geometry and complex manifolds #Geometric Analysis and Curvature Flows #Advanced Differential Geometry Research

paper · pdf · doi:10.48550/arxiv.1308.5182

Abstract

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.

Citations

• Liouville-type theorems and harnack-type inequalities for semilinear elliptic equations
• Asymptotic symmetry and local behavior of semilinear elliptic equations with critical sobolev growth

Related

• The k-Yamabe problem on CR manifolds
• On the pseudohermitian sectional curvature of a strictly pseudoconvex CR manifold
• A classification of spherical symmetric CR manifolds
• On the variation of the Einstein-Hilbert action in pseudohermitian geometry
• On the curvature groups of a CR manifold