RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
Main page
About this project
Software
Classifications
Links
Terms of Use

Search papers
Search references

RSS
Current issues
Archive issues
What is RSS






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


Russ. J. Math. Phys., 2012, Volume 19, Issue 1, Pages 101–106 (Mi rjmph14)  

Multidimensional generalizations of Jacobi's envelope theorem

Yu. S. Osipova, M. I. Zelikinb

a Presidium of the Russian Academy of Sciences, Moscow, Russia
b Department of Mechanics and Mathematics, M. V. Lomonosov Moscow State University, Moscow, Russia

Abstract: In the paper, the extension of a field of geodesics $\wp$ on a manifold $N$ isometrically embedded in a Riemannian manifold $M$ is considered. The symplectic involute of the manifold N along the field $\wp$ is defined and a theorem is proved which gives a multidimensional analog of Jacobi's envelope theorem.

Funding Agency Grant Number
Russian Foundation for Basic Research 10-01-00293-a
Russian Academy of Sciences - Federal Agency for Scientific Organizations
The work of the second author was financially supported by the Russian Foundation for Basic Research (grant no. 10-01-00293-a) and also by the Program of the Presidium of the Russian Academy of Sciences “Mathematical Theory of Control.”


DOI: https://doi.org/10.1134/S1061920812010086

Full text: https:/.../S1061920812010086

Bibliographic databases:

Language:

Linking options:
  • http://mi.mathnet.ru/eng/rjmph14

    SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru


    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles
  • Number of views:
    This page:36

     
    Contact us:
     Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2020