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Matematicheskie Zametki, 2024, Volume 115, Issue 4, paper published in the English version journal (Mi mzm14335)  
Papers published in the English version of the journal

$n$-Dimensional Generalizations of a Thébault Conjecture

Q. H. Trana, B. Herrerab

a High School for Gifted Students, Hanoi University of Science, Vietnam National University at Hanoi, Vietnam
b Department of Computer Engineering and Mathematics, Rovira i Virgili University, Tarragona, Spain
English version article
Abstract: This paper presents some generalizations of a Thébault conjecture, provides an analogy of the Thébault conjecture for the $n$-simplex, and also solves a conjecture in a 2022 paper by the authors by using linear algebra.
Keywords: Thébault's conjecture, $n$-simplex, Monge point, $n$-dimensional Euclidean space.
Received: 22.05.2023
Revised: 17.02.2024
Published: 15.04.2024
English version:
Mathematical Notes, 2024, Volume 115, Issue 4, Pages 618–625
DOI: https://doi.org/10.1134/S0001434624030337
Bibliographic databases:
Document Type: Article
Language: English
Citation: Q. H. Tran, B. Herrera, “$n$-Dimensional Generalizations of a Thébault Conjecture”, Math. Notes, 115:4 (2024), 618–625
Citation in format AMSBIB
\Bibitem{TraHer24}
\by Q.~H.~Tran, B.~Herrera
\paper $n$-Dimensional Generalizations of a Th\'ebault Conjecture
\jour Math. Notes
\yr 2024
\vol 115
\issue 4
\pages 618--625
\mathnet{http://mi.mathnet.ru/mzm14335}
\crossref{https://doi.org/10.1134/S0001434624030337}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=4772174}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85197489379}
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