Orthocenters of simplices on spheres and hyperbolic spaces

Kenzi Sato

The 21st Japan Conference on Discrete and Computational Geometry, Graphs, and Games

Ateneo de Manila University

We consider orthocenters of simplices on high dimensional spheres and hyperbolic spaces. Orthocenters always exist for dimension 2, but they do not always exist for higher dimensional cases. We give a characterization of the existence of the orthocenter for higher dimensional spheres and hyperbolic spaces in this presentation.