Rigidity, counting and equidistribution of quaternionic Cartan chains
Number Theory
2025-10-30 v1 Differential Geometry
Group Theory
Abstract
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.
Cite
@article{arxiv.2002.05130,
title = {Rigidity, counting and equidistribution of quaternionic Cartan chains},
author = {Jouni Parkkonen and Frédéric Paulin},
journal= {arXiv preprint arXiv:2002.05130},
year = {2025}
}