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

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Sb.:
Year:
Volume:
Issue:
Page:
Find




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

Sbornik: Mathematics, 1998, Volume 189, Issue 10, Pages 1441–1466
DOI: https://doi.org/10.1070/sm1998v189n10ABEH000346 (Mi sm346) 		 
This article is cited in 57 scientific papers (total in 57 papers)

Two-dimensional Riemannian metrics with integrable geodesic flows. Local and global geometry

A. V. Bolsinova, V. S. Matveeva, A. T. Fomenko

a M. V. Lomonosov Moscow State University
English version PDF (383 kB) Citations (57)
References:
PDF
HTML
DOI: https://doi.org/10.1070/sm1998v189n10ABEH000346
Abstract: Classical and new results on integrable geodesic flows on two-dimensional surfaces are reviewed. The central question is the classification of such flows up to various equivalences, of which the following four kinds are the most interesting ones: 1) isometry; 2) geodesic equivalence; 3) orbital equivalence; 4) Liouville equivalence.
Received: 04.06.1998
Russian version:
Matematicheskii Sbornik, 1998, Volume 189, Number 10, Pages 5–32
DOI: https://doi.org/10.4213/sm346
Bibliographic databases:
Document Type: Article
UDC: 513.83
MSC: Primary 58F17, 58F07; Secondary 58F05
Language: English
Original paper language: Russian
Citation: A. V. Bolsinov, V. S. Matveev, A. T. Fomenko, “Two-dimensional Riemannian metrics with integrable geodesic flows. Local and global geometry”, Mat. Sb., 189:10 (1998), 5–32; Sb. Math., 189:10 (1998), 1441–1466
Citation in format AMSBIB
\Bibitem{BolMatFom98}
\by A.~V.~Bolsinov, V.~S.~Matveev, A.~T.~Fomenko
\paper Two-dimensional Riemannian metrics with integrable geodesic flows. Local and global geometry
\jour Mat. Sb.
\yr 1998
\vol 189
\issue 10
\pages 5--32
\mathnet{http://mi.mathnet.ru/sm346}
\crossref{https://doi.org/10.4213/sm346}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1691292}
\zmath{https://zbmath.org/?q=an:0917.58031}
\transl
\jour Sb. Math.
\yr 1998
\vol 189
\issue 10
\pages 1441--1466
\crossref{https://doi.org/10.1070/sm1998v189n10ABEH000346}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000078221100007}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-0013251893}
Linking options:
  • https://www.mathnet.ru/eng/sm346
  • https://doi.org/10.1070/sm1998v189n10ABEH000346
  • https://www.mathnet.ru/eng/sm/v189/i10/p5
    • This publication is cited in the following 57 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник - 1992–2005 Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:1031
    Russian version PDF:526
    English version PDF:37
    References:113
    First page:4
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024