A1 Journal article (refereed)
Rigidity, counting and equidistribution of quaternionic Cartan chains (2022)
Parkkonen, J., & Paulin, F. (2022). Rigidity, counting and equidistribution of quaternionic Cartan chains. Annales Mathematiques Blaise Pascal, 28(1), 45-69. https://doi.org/10.5802/ambp.399
JYU authors or editors
Publication details
All authors or editors: Parkkonen, Jouni; Paulin, Frédéric
Journal or series: Annales Mathematiques Blaise Pascal
ISSN: 1259-1734
eISSN: 2118-7436
Publication year: 2022
Publication date: 21/01/2022
Volume: 28
Issue number: 1
Pages range: 45-69
Publisher: Universite Clermont Auvergne
Publication country: France
Publication language: English
DOI: https://doi.org/10.5802/ambp.399
Publication open access: Openly available
Publication channel open access: Open Access channel
Publication is parallel published (JYX): https://jyx.jyu.fi/handle/123456789/79527
Web address of parallel published publication (pre-print): https://arxiv.org/abs/2002.05130
Abstract
In this paper, we prove an analog of Cartan’s theorem, saying that the chain-preserving transformations of the boundary of the quaternionic hyperbolic spaces are projective transformations. We give a counting and equidistribution result for the orbits of arithmetic chains in the quaternionic Heisenberg group.
Keywords: number theory; arithmetic; group theory; differential geometry
Free keywords: counting; equidistribution; Cartan chain; quaternionic Heisenberg group; Cygan distance; sub-Riemannian geometry; quaternionic hyperbolic geometry
Contributing organizations
Ministry reporting: Yes
Reporting Year: 2022
JUFO rating: 1