Basmajian-type inequalities for maximal representations

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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.

SEEK ID: https://publications.h-its.org/publications/974

Research Groups: Groups and Geometry

Publication type: Misc

Journal: arXiv,math.GT,1611.00286

Citation: arXiv,math.GT,1611.00286

Date Published: 2016

URL: https://arxiv.org/abs/1611.00286

Registered Mode: imported from a bibtex file

Authors: Federica Fanoni, Maria Beatrice Pozzetti

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