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 Teichmüller theory. Any equality characterizes diagonal embeddings.
Citation
Federica Fanoni. Maria Beatrice Pozzetti. "Basmajian-type inequalities for maximal representations." J. Differential Geom. 116 (3) 405 - 458, November 2020. https://doi.org/10.4310/jdg/1606964414