A remark on a triple points in the boundary of quaternionic hyperbolic space

Joonhyung Kim

Abstract


In this paper we consider a triple of distinct points in the boundary of quaternionic hyperbolic space and detect where these points are by using the quaternionic triple product.

Keywords


Quaternionic hyperbolic space, Quaternionic Cartan angular invariant.

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References


B. N. Apanasov and I. Kim, Cartan angular invariant and deformations of rank 1 symmetric spaces, Sbornik: Mathematics 198:2 (2007), 147–169.

W. M. Goldman, Complex hyperbolic Geometry, Oxford Univ. Press, (1999).

I. Kim and J. R. Parker, Geometry of quaternionic hyperbolic manifolds, Math. Proc. Camb. Phil. Soc. 135 (2003), 291–320.

J. Kim, Quaternionic hyperbolic Fuchsian groups, Linear algebra and its applications 438 (2013), 3610–3617.




DOI: http://dx.doi.org/10.11568/kjm.2017.25.2.211

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ISSN: 1976-8605 (Print), 2288-1433 (Online)

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