Entropy and affine actions for surface groups
Differential Geometry
2020-11-13 v3 Dynamical Systems
Abstract
We give an independent proof of a theorem of Danciger of Zhang: surface groups with Hitchin linear part cannot act properly on the affine space
Cite
@article{arxiv.1908.00599,
title = {Entropy and affine actions for surface groups},
author = {François Labourie},
journal= {arXiv preprint arXiv:1908.00599},
year = {2020}
}
Comments
11 pages, v2 grant info updated, v3 clarifications in the proofs -- in particular new versions of Lemma 4.3 and 6.4, thanks to a careful reading by an independent reader