Spherical space forms, CR mappings, and proper maps between balls

John P. D'Angelo; Daniel A. Lichtblau

doi:10.1007/BF02921298

Spherical space forms, CR mappings, and proper maps between balls

John P. D'Angelo, Daniel A. Lichtblau

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We determine precisely for which spherical space forms there are nontrivial smooth CR mappings to spheres. Equivalently we determine for which fixed point free finite unitary groups ⌈ there exists a ⌈-invariant proper holomorphic rational map between balls. The answer is that the group must be cyclic and essentially only two classes of representations can occur. For these there are invariant polynomial examples.

Original language	English (US)
Pages (from-to)	391-415
Number of pages	25
Journal	The Journal of Geometric Analysis
Volume	2
Issue number	5
DOIs	https://doi.org/10.1007/BF02921298
State	Published - Sep 1 1992

Keywords

CR mappings
Math Subject Classification: 32H35, 57S25, 51F25
finite unitary groups
proper holomorphic mappings
spherical space forms
unit ball

ASJC Scopus subject areas

Geometry and Topology

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10.1007/BF02921298

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KW - unit ball

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Spherical space forms, CR mappings, and proper maps between balls

Abstract

Keywords

ASJC Scopus subject areas

Online availability

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