On right-angled polygons in hyperbolic space
- Dotti, Edoardo Département de mathématiques, Université de Fribourg, Switzerland
- Drewitz, Simon T. Département de mathématiques, Université de Fribourg, Switzerland
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01.06.2019
Published in:
- Geometriae Dedicata. - 2019, vol. 200, no. 1, p. 45–59
English
We study oriented right-angled polygons in hyperbolic spaces of arbitrary dimensions, that is, finite sequences (S0,S1,…,Sp−1) of oriented geodesics in the hyperbolic space HHn+2 such that consecutive sides are orthogonal. It was previously shown by Delgove and Retailleau (Ann Fac Sci Toulouse Math 23(5):1049–1061, 2014. https://doi.org/10.5802/afst.1435) that three quaternionic parameters define a right- angled hexagon in the 5-dimensional hyperbolic space. We generalise this method to right-angled polygons with an arbitrary number of sides p≥5 in a hyperbolic space of arbitrary dimension.
- Faculty
- Faculté des sciences et de médecine
- Department
- Département de Mathématiques
- Language
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- English
- Classification
- Mathematics
- License
- License undefined
- Identifiers
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- RERO DOC 326762
- DOI 10.1007/s10711-018-0357-y
- Persistent URL
- https://folia.unifr.ch/unifr/documents/307988
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