Basmajian-type inequalities for maximal representations

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...

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Bibliographic Details
Main Authors: Fanoni, Federica (Author) , Pozzetti, Maria Beatrice (Author)
Format: Article (Journal) Chapter/Article
Language:English
Published: 1 Nov 2016
In: Arxiv

Online Access:Verlag, kostenfrei, Volltext: http://arxiv.org/abs/1611.00286
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Author Notes:Federica Fanoni and Maria Beatrice Pozzetti
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Summary: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.
Item Description:Last revised 14 Dec 2017
Gesehen am 21.03.2018
Physical Description:Online Resource