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.
Fanoni, F., Pozzetti, M.B. (2020). Basmajian-type inequalities for maximal representations. JOURNAL OF DIFFERENTIAL GEOMETRY, 116(3), 405-458 [10.4310/JDG/1606964414].
Basmajian-type inequalities for maximal representations
Pozzetti M. B.
2020
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.File in questo prodotto:
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