A Liouville theorem for the CR Yamabe type equation on Sasakian manifolds
Abstract
In this paper, we study the CR Yamabe type equation align b u+F(u)=0 align on complete noncompact (2n+1)-dimensional Sasakian manifolds with nonnegative curvature. Under some assumptions, we prove a rigidity result, that is, the manifold is CR isometric to Heisenberg group Hn. The proofs are based on the Jerison-Lee's differential identity combining with integral estimates.
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