English

Constructing Group-Invariant CR Mappings

Complex Variables 2022-03-08 v1

Abstract

We construct CR mappings between spheres that are invariant under actions of finite unitary groups. In particular, we combine a tensoring procedure with D'Angelo's construction of a canonical group-invariant CR mapping to obtain new invariant mappings. We also explore possible gap phenomena in this setting.

Keywords

Cite

@article{arxiv.2203.03494,
  title  = {Constructing Group-Invariant CR Mappings},
  author = {Jennifer Brooks and Sean Curry and Dusty Grundmeier and Purvi Gupta and Valentin Kunz and Alekzander Malcom and Kevin Palencia},
  journal= {arXiv preprint arXiv:2203.03494},
  year   = {2022}
}

Comments

11 pages

R2 v1 2026-06-24T10:04:47.746Z