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 Teichmüller theory. Any equality characterizes diagonal embe...
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| Main Authors: | , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
3 December 2020
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| In: |
Journal of differential geometry
Year: 2020, Volume: 116, Issue: 3, Pages: 405-458 |
| ISSN: | 1945-743X |
| DOI: | 10.4310/jdg/1606964414 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.4310/jdg/1606964414 Verlag, lizenzpflichtig, Volltext: http://projecteuclid.org/euclid.jdg/1606964414 
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| Author Notes: | Federica Fanoni & Maria Beatrice Pozzetti |
| 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 Teichmüller theory. Any equality characterizes diagonal embeddings. |
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| Item Description: | First available in project euclid: 3 December 2020 Gesehen am 07.01.2021 |
| Physical Description: | Online Resource |
| ISSN: | 1945-743X |
| DOI: | 10.4310/jdg/1606964414 |