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 editorsParkkonen, Jouni; Paulin, Frédéric

Journal or seriesAnnales Mathematiques Blaise Pascal

ISSN1259-1734

eISSN2118-7436

Publication year2022

Publication date21/01/2022

Volume28

Issue number1

Pages range45-69

PublisherUniversite Clermont Auvergne

Publication countryFrance

Publication languageEnglish

DOIhttps://doi.org/10.5802/ambp.399

Publication open accessOpenly available

Publication channel open accessOpen 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.


Keywordsnumber theoryarithmeticgroup theorydifferential geometry

Free keywordscounting; equidistribution; Cartan chain; quaternionic Heisenberg group; Cygan distance; sub-Riemannian geometry; quaternionic hyperbolic geometry


Contributing organizations


Ministry reportingYes

Reporting Year2022

JUFO rating1


Last updated on 2024-25-03 at 08:19