RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
General information
Latest issue
Archive
Impact factor
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Dal'nevost. Mat. Zh.:
Year:
Volume:
Issue:
Page:
Find






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


Dal'nevost. Mat. Zh., 2013, Volume 13, Number 1, Pages 127–147 (Mi dvmg257)  

This article is cited in 5 scientific papers (total in 6 papers)

The theorem of the area of a rectangular trihedral of the hyperbolic plane of positive curvature

L. N. Romakina

Saratov State University named after N. G. Chernyshevsky

Abstract: On the hyperbolic plane $\widehat{H}$ of positive curvature the orthogonal hypercyclic coordinates system is introduced. Formulas for calculation of the areas of a rectangular trihedral, in particular with a parabolic hypotenuse, double rectangular trihedral and the simple 4-contours, being a cell in simple partitions of the plane $\widehat{H}$ are received.

Key words: hyperbolic plane $\widehat{H}$ of positive curvature, hypercycle, orthogonal hypercyclic coordinate system, main theorem of the area of a rectangular trihedral of the plane $\widehat{H}$

Full text: PDF file (226 kB)
References: PDF file   HTML file
UDC: 514.133, 514.112.3
MSC: 51F05
Received: 27.07.2012

Citation: L. N. Romakina, “The theorem of the area of a rectangular trihedral of the hyperbolic plane of positive curvature”, Dal'nevost. Mat. Zh., 13:1 (2013), 127–147

Citation in format AMSBIB
\Bibitem{Rom13}
\by L.~N.~Romakina
\paper The theorem of the area of a rectangular trihedral of the hyperbolic plane of positive curvature
\jour Dal'nevost. Mat. Zh.
\yr 2013
\vol 13
\issue 1
\pages 127--147
\mathnet{http://mi.mathnet.ru/dvmg257}


Linking options:
  • http://mi.mathnet.ru/eng/dvmg257
  • http://mi.mathnet.ru/eng/dvmg/v13/i1/p127

    SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru


    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. L. N. Romakina, “Giperbolicheskie parallelogrammy ploskosti $\widehat H$”, Izv. Sarat. un-ta. Nov. ser. Ser. Matematika. Mekhanika. Informatika, 13:3 (2013), 43–52  mathnet
    2. L. N. Romakina, “The chord length of a hypercycle in a hyperbolic plane of positive curvature”, Siberian Math. J., 54:5 (2013), 894–904  mathnet  crossref  mathscinet  isi
    3. L. N. Romakina, “On the area of a trihedral on a hyperbolic plane of positive curvature”, Siberian Adv. Math., 25:2 (2015), 138–153  mathnet  crossref  mathscinet
    4. L. N. Romakina, “Razbieniya giperbolicheskoi ploskosti polozhitelnoi krivizny pravilnymi oritsiklicheskimi $n$-trapetsiyami”, Chebyshevskii sb., 16:3 (2015), 376–416  mathnet  elib
    5. L. N. Romakina, I. V. Fedorov, “Reshenie trekhrebernikov tipov $eee(I)$ i $eee(III)$ na giperbolicheskoi ploskosti polozhitelnoi krivizny”, Matem. obr., 2017, no. 1(81), 40–47  mathnet
    6. L. N. Romakina, “Inversiya otnositelno oritsikla giperbolicheskoi ploskosti polozhitelnoi krivizny”, Tr. In-ta matem., 25:1 (2017), 82–92  mathnet
  • Дальневосточный математический журнал
    Number of views:
    This page:397
    Full text:140
    References:35
    First page:1

     
    Contact us:
     Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2019