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Mat. Tr., 2014, Volume 17, Number 2, Pages 184–206 (Mi mt274)  

This article is cited in 7 scientific papers (total in 8 papers)

On the area of a trihedral on a hyperbolic plane of positive curvature

L. N. Romakina

Chernyshevsky Saratov State University, Saratov, Russia

Abstract: We prove a formula for the area of a trihedral on a hyperbolic plane $\widehat H$ of positive curvature via the angles at its vertices.

Key words: hyperbolic plane of positive curvature, de Sitter plane, trihedral, area of a trihedral.

Full text: PDF file (314 kB)
References: PDF file   HTML file

English version:
Siberian Advances in Mathematics, 2015, 25:2, 138–153

Bibliographic databases:

UDC: 514.133
Received: 30.12.2013

Citation: L. N. Romakina, “On the area of a trihedral on a hyperbolic plane of positive curvature”, Mat. Tr., 17:2 (2014), 184–206; Siberian Adv. Math., 25:2 (2015), 138–153

Citation in format AMSBIB
\Bibitem{Rom14}
\by L.~N.~Romakina
\paper On the area of a~trihedral on a~hyperbolic plane of positive curvature
\jour Mat. Tr.
\yr 2014
\vol 17
\issue 2
\pages 184--206
\mathnet{http://mi.mathnet.ru/mt274}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=3330057}
\transl
\jour Siberian Adv. Math.
\yr 2015
\vol 25
\issue 2
\pages 138--153
\crossref{https://doi.org/10.3103/S1055134415020042}


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    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, “The theory of the figures areas in the hyperbolic plane of positive curvature”, Publ. Inst. Math.-Beograd, 99:113 (2016), 139–154  crossref  mathscinet  zmath  isi  scopus
    2. 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
    3. L. N. Romakina, “Inequalities of trihedrals on a hyperbolic plane of positive curvature”, Beitr. Algebr. Geom., 58:4 (2017), 723–734  crossref  mathscinet  zmath  isi  scopus
    4. L. N. Romakina, “Regular and equiangular polygons of a hyperbolic plane of positive curvature”, Int. Electron. J. Geom., 10:2 (2017), 20–31  mathscinet  isi
    5. L. N. Romakina, “Inversiya otnositelno oritsikla giperbolicheskoi ploskosti polozhitelnoi krivizny”, Tr. In-ta matem., 25:1 (2017), 82–92  mathnet
    6. L. Romakina, “To the volumes theory of a hyperbolic space of positive curvature”, J. Geom. Graph., 22:1 (2018), 67–86  isi
    7. L. N. Romakina, “The inverse Gudermannian in the hyperbolic geometry”, Integral Transform. Spec. Funct., 29:5 (2018), 384–401  crossref  mathscinet  zmath  isi  scopus
    8. L. Romakina, “To a question on the existence of regular mosaics on a hyperbolic plane of positive curvature”, Miskolc Math. Notes, 19:2 (2018), 1117–1132  crossref  mathscinet  zmath  isi
  • Математические труды Siberian Advances in Mathematics
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