Mostow rigidity for skew solenoidal manifolds
Dynamical Systems
2026-05-15 v1 Differential Geometry
Abstract
We prove a Mostow rigidity theorem for foliated bundles over closed hyperbolic manifolds of dimension endowed with a completely invariant measure of full support. These include solenoidal manifolds obtained as inverse limits of directed systems of finite coverings of closed hyperbolic manifolds. This theorem then extends to skew solenoidal manifolds for which the action of the holonomy group is twisted by means of a cocycle.
Cite
@article{arxiv.2605.14740,
title = {Mostow rigidity for skew solenoidal manifolds},
author = {Fernando Alcalde Cuesta and Matilde Martínez and Alberto Verjovsky},
journal= {arXiv preprint arXiv:2605.14740},
year = {2026}
}
Comments
33 pages, 1 figure, submitted for publication