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Basmajian-type inequalities for maximal representations
Journal of Differential Geometry  (IF2.688),  Pub Date : 2020-11-01, DOI: 10.4310/jdg/1606964414
Federica Fanoni, Maria Beatrice Pozzetti

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.