Upravlenie Bol'shimi Sistemami
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



UBS:
Year:
Volume:
Issue:
Page:
Find






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


Upravlenie Bol'shimi Sistemami, 2018, Issue 72, Pages 27–32
DOI: https://doi.org/10.25728/ubs.2018.72.2
(Mi ubs944)
 

Systems Analysis

On contact integral Calabi invariant

P. V. Bibikova, I. S. Strel'tsovab

a V.A. Trapeznikov Institute of Control Sciences of Russian Academy of Sciences
b Astrakhan State University, Astrakhan
References:
Abstract: The paper is about the problem of the global invariants construction for the action of the group of contact diffeomorphisms on itself by conjugations. The integral invariant is obtained for this action. This invariant is the analogue of the Calabi invariant for the groups of symplectomorphisms of the unit disk. We normalize Cartan form for a given contact diffeomorphism and then consider the volume form on our compact manifold. This volume form is constructed with the help of the normalized Cartan form. The volume of our manifold in relation to this form is our integral invariant.
Keywords: contact diffeomorphism, Calabi invariant, action by conjugations, invariant.
Received: November 21, 2017
Published: March 31, 2018
Bibliographic databases:
Document Type: Article
UDC: 514.763.34 + 515.164.13 + 517.95
BBC: 22.15 + 22.161.6
Language: Russian
Citation: P. V. Bibikov, I. S. Strel'tsova, “On contact integral Calabi invariant”, UBS, 72 (2018), 27–32
Citation in format AMSBIB
\Bibitem{BibStr18}
\by P.~V.~Bibikov, I.~S.~Strel'tsova
\paper On contact integral Calabi invariant
\jour UBS
\yr 2018
\vol 72
\pages 27--32
\mathnet{http://mi.mathnet.ru/ubs944}
\crossref{https://doi.org/10.25728/ubs.2018.72.2}
\elib{https://elibrary.ru/item.asp?id=32823126}
Linking options:
  • https://www.mathnet.ru/eng/ubs944
  • https://www.mathnet.ru/eng/ubs/v72/p27
  • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Upravlenie Bol'shimi Sistemami
    Statistics & downloads:
    Abstract page:252
    Full-text PDF :70
    References:44
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024