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, 2019, Volume 83, Issue 1, Pages 104–123
DOI: https://doi.org/10.1070/IM8723 (Mi im8723) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Completion of the classification of generic singularities of geodesic flows in two classes of metrics

N. G. Pavlovaab, A. O. Remizovcb

a Peoples Friendship University of Russia, Moscow
b Moscow Institute of Physics and Technology (State University), Dolgoprudny, Moscow region
c CMAP École Polytechnique, Palaiseau, France
English version PDF (421 kB) Citations (5)
References:
PDF
HTML
DOI: https://doi.org/10.1070/IM8723
Abstract: This is the final paper in a series devoted to generic singularities of geodesic flows for two-dimensional pseudo-Riemannian metrics of changing signature and metrics induced from the Euclidean metric of the ambient space on surfaces with a cuspidal edge. We study the local phase portraits and the properties of geodesics at degenerate points of a certain type. This completes the list of singularities in codimensions $1$ and $2$.
Keywords: pseudo-Riemannian metric, geodesic, singular point, normal form, invariant manifold.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00766
17-01-00849
Russian Science Foundation 17-11-01168
This paper was written with the financial support of RFBR (grants no. 16-01-00766, no. 17-01-00849). Section 4 was written by the first author with the support of the Russian Science Foundation (grant no. 17-11-01168).
Received: 26.09.2017
Revised: 20.06.2018
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2019, Volume 83, Issue 1, Pages 119–139
DOI: https://doi.org/10.4213/im8723
Bibliographic databases:
Document Type: Article
UDC: 514.774.8+517.9
MSC: 53C22, 53B30, 34C05
Language: English
Original paper language: Russian
Citation: N. G. Pavlova, A. O. Remizov, “Completion of the classification of generic singularities of geodesic flows in two classes of metrics”, Izv. RAN. Ser. Mat., 83:1 (2019), 119–139; Izv. Math., 83:1 (2019), 104–123
Citation in format AMSBIB
\Bibitem{PavRem19}
\by N.~G.~Pavlova, A.~O.~Remizov
\paper Completion of the classification of generic singularities of geodesic
flows in two classes of metrics
\jour Izv. RAN. Ser. Mat.
\yr 2019
\vol 83
\issue 1
\pages 119--139
\mathnet{http://mi.mathnet.ru/im8723}
\crossref{https://doi.org/10.4213/im8723}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3920392}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2019IzMat..83..104P}
\elib{https://elibrary.ru/item.asp?id=37045041}
\transl
\jour Izv. Math.
\yr 2019
\vol 83
\issue 1
\pages 104--123
\crossref{https://doi.org/10.1070/IM8723}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000459866800005}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85064135400}
Linking options:
  • https://www.mathnet.ru/eng/im8723
  • https://doi.org/10.1070/IM8723
  • https://www.mathnet.ru/eng/im/v83/i1/p119
    • This publication is cited in the following 5 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:757
    Russian version PDF:63
    English version PDF:17
    References:58
    First page:20
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024