Kenzi Sato, Orthocenters of simplices in hyperbolic spaces,
Forum Geometricorum, 17 (2017) 483--508.

Abstract. We consider orthocenters of simplices of the hyperbolic space. Unlike the cases of the Euclidean spaces or the sphere, the similar condition does not always imply the existence of the orthocenter. In this paper, we give a characterization of the existence of the orthocenter.

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