Izvestiya: Mathematics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Izv. RAN. Ser. Mat.:
Year:
Volume:
Issue:
Page:
Find




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

Izvestiya: Mathematics, 2002, Volume 66, Issue 5, Pages 905–948
DOI: https://doi.org/10.1070/IM2002v066n05ABEH000402 (Mi im402) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Branching geodesics in normed spaces

A. O. Ivanov, A. A. Tuzhilin

M. V. Lomonosov Moscow State University
English version PDF (1004 kB) Citations (7)
References:
PDF
HTML
DOI: https://doi.org/10.1070/IM2002v066n05ABEH000402
Abstract: We study branching extremals of length functionals on normed spaces. This is a natural generalization of the Steiner problem in normed spaces. We obtain criteria for a network to be extremal under deformations that preserve the topology of networks as well as under deformations with splitting. We discuss the connection between locally shortest networks and extremal networks. In the important particular case of the Manhattan plane, we get a criterion for a locally shortest network to be extremal.
Received: 22.05.2001
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2002, Volume 66, Issue 5, Pages 33–82
DOI: https://doi.org/10.4213/im402
Bibliographic databases:
UDC: 514.77+519.176
MSC: 05C35, 90C35, 68R10
Language: English
Original paper language: Russian
Citation: A. O. Ivanov, A. A. Tuzhilin, “Branching geodesics in normed spaces”, Izv. RAN. Ser. Mat., 66:5 (2002), 33–82; Izv. Math., 66:5 (2002), 905–948
Citation in format AMSBIB
\Bibitem{IvaTuz02}
\by A.~O.~Ivanov, A.~A.~Tuzhilin
\paper Branching geodesics in normed spaces
\jour Izv. RAN. Ser. Mat.
\yr 2002
\vol 66
\issue 5
\pages 33--82
\mathnet{http://mi.mathnet.ru/im402}
\crossref{https://doi.org/10.4213/im402}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1965936}
\zmath{https://zbmath.org/?q=an:1112.90377}
\transl
\jour Izv. Math.
\yr 2002
\vol 66
\issue 5
\pages 905--948
\crossref{https://doi.org/10.1070/IM2002v066n05ABEH000402}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33748479074}
Linking options:
  • https://www.mathnet.ru/eng/im402
  • https://doi.org/10.1070/IM2002v066n05ABEH000402
  • https://www.mathnet.ru/eng/im/v66/i5/p33
    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:532
    Russian version PDF:290
    English version PDF:11
    References:66
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024