Contemporary Mathematics. Fundamental Directions
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors
Publishing Ethics

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


CMFD:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Contemporary Mathematics. Fundamental Directions, 2013, Volume 49, Pages 89–98 (Mi cmfd247)  
This article is cited in 2 scientific papers (total in 2 papers)

On integral expressions for volumes of hyperbolic tetrahedra

V. A. Krasnovab

a Moscow State Regional Social-Humanitarian Institute, Kolomna, Russia
b Peoples' Friendship University, Moscow, Russia
Full-text PDF (276 kB) Citations (2)
References:
PDF
HTML
Abstract: In this paper, we derive the Derevnin–Mednykh integral expression for the volume of a hyperbolic tetrahedron in terms of dihedral angles from the Murakami–Yano expression. As a consequence, we derive an expression for the volume of a hyperbolic tetrahedron in terms of edge lengths.
English version:
Journal of Mathematical Sciences, 2015, Volume 211, Issue 4, Pages 531–541
DOI: https://doi.org/10.1007/s10958-015-2616-x
Bibliographic databases:
Document Type: Article
UDC: 514.13+514.132
Language: Russian
Citation: V. A. Krasnov, “On integral expressions for volumes of hyperbolic tetrahedra”, Proceedings of the Crimean autumn mathematical school-symposium, CMFD, 49, PFUR, M., 2013, 89–98; Journal of Mathematical Sciences, 211:4 (2015), 531–541
Citation in format AMSBIB
\Bibitem{Kra13}
\by V.~A.~Krasnov
\paper On integral expressions for volumes of hyperbolic tetrahedra
\inbook Proceedings of the Crimean autumn mathematical school-symposium
\serial CMFD
\yr 2013
\vol 49
\pages 89--98
\publ PFUR
\publaddr M.
\mathnet{http://mi.mathnet.ru/cmfd247}
\transl
\jour Journal of Mathematical Sciences
\yr 2015
\vol 211
\issue 4
\pages 531--541
\crossref{https://doi.org/10.1007/s10958-015-2616-x}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84946496942}
Linking options:
  • https://www.mathnet.ru/eng/cmfd247
  • https://www.mathnet.ru/eng/cmfd/v49/p89
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Современная математика. Фундаментальные направления
    Statistics & downloads:
    Abstract page:370
    Full-text PDF :121
    References:36
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024