The CR Ahlfors derivative and a new invariant for spherically equivalent CR maps
- Author(s)
- Duong Ngoc Son, Bernhard Lamel
- Abstract
We study a CR analogue of the Ahlfors derivative for conformal immersions of Stowe that generalizes the CR Schwarzian derivative studied earlier by the second-named author. This notion possesses several important properties similar to those of the conformal counterpart and provides a new invariant for spherically equivalent CR maps from strictly pseudoconvex CR manifolds into a sphere. The invariant is computable and distinguishes many well-known sphere maps. In particular, it vanishes precisely when the map is spherically equivalent to the linear embedding of spheres.
- Organisation(s)
- Department of Mathematics
- Journal
- Annales de l'Institut Fourier
- Volume
- 71
- Pages
- 2137 - 2167
- No. of pages
- 31
- ISSN
- 0373-0956
- Publication date
- 2021
- Peer reviewed
- Yes
- Austrian Fields of Science 2012
- 101008 Complex analysis
- Keywords
- ASJC Scopus subject areas
- Geometry and Topology, Algebra and Number Theory
- Portal url
- https://ucris.univie.ac.at/portal/en/publications/the-cr-ahlfors-derivative-and-a-new-invariant-for-spherically-equivalent-cr-maps(33ce69d0-ab04-469f-8d66-a4eb19142391).html