Izvestiya of Saratov University. Mathematics. Mechanics. Informatics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Izv. Saratov Univ. Math. Mech. Inform.:
Year:
Volume:
Issue:
Page:
Find




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

Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2010, Volume 10, Issue 3, Pages 14–26
DOI: https://doi.org/10.18500/1816-9791-2010-10-3-14-26 (Mi isu170) 		 
This article is cited in 13 scientific papers (total in 14 papers)

Mathematics

Finite closed 3(4)-loops of extended hyperbolic plane

L. N. Romakina

Saratov State University, Chair of Geometry
Full-text PDF (262 kB) Citations (14)
References:
PDF
HTML
DOI: https://doi.org/10.18500/1816-9791-2010-10-3-14-26
Abstract: This article considers finite closed $n$-loops of the extended hyperbolic plane $H^2$. The paper deals with topological and metric properties of the finite closed 3(4)-loops. Pasha statement analogues have been also obtained. We proved the existence of two types 4-loops and convexity of the plain 4-loop.
Key words: finite closed $n$-loop, plain 4-loop, interior of a finite closed isotropic loop, convex finite closed loop.
Document Type: Article
UDC: 514.133+514.17
Language: Russian
Citation: L. N. Romakina, “Finite closed 3(4)-loops of extended hyperbolic plane”, Izv. Saratov Univ. Math. Mech. Inform., 10:3 (2010), 14–26
Citation in format AMSBIB
\Bibitem{Rom10}
\by L.~N.~Romakina
\paper Finite closed 3(4)-loops of extended hyperbolic plane
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2010
\vol 10
\issue 3
\pages 14--26
\mathnet{http://mi.mathnet.ru/isu170}
\crossref{https://doi.org/10.18500/1816-9791-2010-10-3-14-26}
Linking options:
  • https://www.mathnet.ru/eng/isu170
  • https://www.mathnet.ru/eng/isu/v10/i3/p14
    • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика
    Statistics & downloads:
    Abstract page:415
    Full-text PDF :130
    References:43
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024