Research achievements (PUBLICATIONS/REVIEWS (Misc))

Basic information

Name SATO Kenji

Title

The existence of orthocenters of simplices of hyperbolic spaces

Author

Kenzi Sato

Name of publication

日本数学会 2018年度年会 幾何学分科会 講演アブストラクト

Publisher

 

Volume (No.)

 

Issue (No.)

 

Start page

51

 

End page

52

Date of publication

2018-03-19

Presence/absence of peer review

Batu

Presence/absence of request

Batu(Ordinary Paper)

Language of publication used

Japanese

Posting category

Domestic

Type of publication

Summary of the papers read (national conference and other science council)

Type of authorship

Individual works

ISSN

 

DOI

 

NAID (CiNii ID)

 

PMID

 

Permalink

URL

Summary

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.

Remarks