# Rigidity of CR morphisms between compact strongly pseudoconvex CR manifolds

@inproceedings{Yau2011RigidityOC, title={Rigidity of CR morphisms between compact strongly pseudoconvex CR manifolds}, author={Stephen S.-T. Yau}, year={2011} }

Let X1 and X2 be two compact strongly pseudoconvex CR manifolds of dimension 2n − 1 ≥ 5 which bound complex varieties V1 and V2 with only isolated normal singularities in CN1 and CN2 respectively. Let S1 and S2 be the singular sets of V1 and V2 respectively and assume S2 is non-empty. If 2n − N2 − 1 ≥ 1 and the cardinality of S1 is less than twice that of S2, then we prove that any non-constant CR morphism from X1 to X2 is necessarily a CR biholomorphism. On the other hand, let X be a compact… CONTINUE READING