Basmajian-type inequalities for maximal representations
Geometric Topology
2017-12-15 v2 Group Theory
Abstract
For suitable metrics on the locally symmetric space associated to a maximal representation, we prove inequalities between the length of the boundary and the lengths of orthogeodesics that generalize the classical Basmajian's identity from Teichmueller theory. Any equality characterizes diagonal embeddings.
Keywords
Cite
@article{arxiv.1611.00286,
title = {Basmajian-type inequalities for maximal representations},
author = {Federica Fanoni and Maria Beatrice Pozzetti},
journal= {arXiv preprint arXiv:1611.00286},
year = {2017}
}
Comments
46 pages, 8 figures. Main addition: collar lemma-type statement for the locally symmetric space associated to a maximal representation. Further corrections/clarifications following referees' comments