Conference
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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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The existence and uniqueness of orthocenters of simplices of high-dimensional spheres
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Kenzi Sato
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日本数学会 2017年度秋季総合分科会 幾何学分科会
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2017/09/13
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Not exist
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Japanese
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Domestic conferences
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Verbal presentations (general)
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日本数学会
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山形大学
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We consider orthocenters of simplices of the unit sphere of the n-dimensional Euclidean space. For n=3, orthocenters always exist for all simplices, but for n>=4, they do not necessarily exist. Moreover, unlike the case of the Euclidean space, it is possible that there exist infinite numbers of orthocenters. In this paper, we give characterizations of the existence and the uniqueness of orthocenters.
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