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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2013, Volume 10, Pages 393–407 (Mi semr419)  
This article is cited in 13 scientific papers (total in 14 papers)

Geometry and topology

Analogs of a formula of Lobachevsky for angle of parallelism on the hyperbolic plane of positive curvature

L. N. Romakina

Saratov State University named after N. G. Chernyshevsky
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Abstract: It is shown that on hyperbolic plane $\widehat {H}$ of positive curvature exists fifteen types of angles, angles of six types are measurable, angles of three types have the real measures. For quasiangles of parallelism, angles of quasiparallelism and angles of parallelism of the plane $\widehat{H}$ analogs of a formula of Lobachevsky are received.
Keywords: hyperbolic plane $\widehat{H}$ of positive curvature; quasiangle of parallelism; angle of quasiparallelism; angle of parallelism; analogs of a formula of Lobachevsky for angle of parallelism.
Received July 21, 2012, published April 17, 2013
Document Type: Article
UDC: 514.133, 514.17
MSC: 51F10,52B99
Language: Russian
Citation: L. N. Romakina, “Analogs of a formula of Lobachevsky for angle of parallelism on the hyperbolic plane of positive curvature”, Sib. Èlektron. Mat. Izv., 10 (2013), 393–407
Citation in format AMSBIB
\Bibitem{Rom13}
\by L.~N.~Romakina
\paper Analogs of a formula of Lobachevsky for angle of parallelism on the hyperbolic plane of positive curvature
\jour Sib. \`Elektron. Mat. Izv.
\yr 2013
\vol 10
\pages 393--407
\mathnet{http://mi.mathnet.ru/semr419}
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    • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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