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Basic information
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| Name | SATO Kenji |
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| researchmap researcher code | 5000028654 |
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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.