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...
Gespeichert in:
| Hauptverfasser: | , |
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| Dokumenttyp: | Article (Journal) |
| Sprache: | Englisch |
| Veröffentlicht: |
3 December 2020
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| In: |
Journal of differential geometry
Year: 2020, Jahrgang: 116, Heft: 3, Pages: 405-458 |
| ISSN: | 1945-743X |
| DOI: | 10.4310/jdg/1606964414 |
| Online-Zugang: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.4310/jdg/1606964414 Verlag, lizenzpflichtig, Volltext: http://projecteuclid.org/euclid.jdg/1606964414 
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| Verfasserangaben: | Federica Fanoni & Maria Beatrice Pozzetti |
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| 520 | |a 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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