Abstract
Strongly pseudoconvex CR manifolds are boundaries of Stein varieties with isolated normal singularities. We prove that any non- constant CR morphism between two $(2n−1)$-dimensional strongly pseudoconvex CR manifolds lying in an $n$-dimensional Stein variety with isolated singularities are necessarily a CR biholomorphism. As a corollary, we prove that any nonconstant self map of $(2n − 1)$-dimensional strongly pseudoconvex CR manifold is a CR automorphism. We also prove that a finite étale covering map between two resolutions of isolated normal singularities must be an isomorphism.
Citation
Yu-Chao Tu. Stephen S.-T. Yau. Huaiqing Zuo. "Nonconstant CR morphisms betweenc compact strongly pseudoconvex CR manifolds and étale covering between resolutions of isolated singularities." J. Differential Geom. 95 (2) 337 - 354, October 2013. https://doi.org/10.4310/jdg/1376053450
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