Algebra i Analiz
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


Algebra i Analiz:
Year:
Volume:
Issue:
Page:
Find




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

Algebra i Analiz, 2017, Volume 29, Issue 1, Pages 189–208 (Mi aa1526)  
Research Papers

On the total curvature of minimizing geodesics on convex surfaces

N. Lebedevaab, A. Petruninc

a Department of Mathematics and Mechanics, St. Petersburg State University, Universitetskii pr., 28, 198504, St. Petersburg, Russia
b St. Petersburg Branch, Steklov Institute of Mathematics, Russian Academy of Sciences, Fontanka, 27, 191023, St. Petersburg, Russia
c Math. Dept. PSU, University Park, PA 16802, USA
Full-text PDF (260 kB)
References:
PDF
HTML
Abstract: We give a universal upper bound for the total curvature of a minimizing geodesic on a convex surface in the Euclidean space.
Keywords: geodesic, curvature, Liberman's lemma, development, tongue.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-00062
National Science Foundation DMS 1309340
N. Lebedeva was partially supported by RFBR grant 14-01-00062. A. Petrunin was partially supported by NSF grant DMS 1309340.
Received: 20.05.2016
English version:
St. Petersburg Mathematical Journal, 2018, Volume 29, Issue 1, Pages 139–153
DOI: https://doi.org/10.1090/spmj/1485
Bibliographic databases:
Document Type: Article
Language: English
Citation: N. Lebedeva, A. Petrunin, “On the total curvature of minimizing geodesics on convex surfaces”, Algebra i Analiz, 29:1 (2017), 189–208; St. Petersburg Math. J., 29:1 (2018), 139–153
Citation in format AMSBIB
\Bibitem{LebPet17}
\by N.~Lebedeva, A.~Petrunin
\paper On the total curvature of minimizing geodesics on convex surfaces
\jour Algebra i Analiz
\yr 2017
\vol 29
\issue 1
\pages 189--208
\mathnet{http://mi.mathnet.ru/aa1526}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3660688}
\elib{https://elibrary.ru/item.asp?id=28960975}
\transl
\jour St. Petersburg Math. J.
\yr 2018
\vol 29
\issue 1
\pages 139--153
\crossref{https://doi.org/10.1090/spmj/1485}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000419174700008}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85040067608}
Linking options:
  • https://www.mathnet.ru/eng/aa1526
  • https://www.mathnet.ru/eng/aa/v29/i1/p189
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Алгебра и анализ St. Petersburg Mathematical Journal
    Statistics & downloads:
    Abstract page:224
    Full-text PDF :58
    References:44
    First page:9
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024