Lobachevskii Journal of Mathematics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Lobachevskii J. Math.:
Year:
Volume:
Issue:
Page:
Find






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


Lobachevskii Journal of Mathematics, 2006, Volume 23, Pages 183–192 (Mi ljm21)  

Differential complex associated to closed differential forms of nonconstant rank

M. A. Malakhaltsev

Kazan State University
References:
Abstract: In the present paper we construct a complex of sheaves associated to a closed differential form $\omega$. We study this complex in case $\omega$ is a) a closed 1-form vanishing at an embedded submanifold, b) a symplectic structure with Martinet singularities. In particular, we prove that, under additional conditions on $\omega$, this complex gives a fine resolution for the sheaf of infinitesimal automorphisms of $\omega$.
Keywords: complex of sheaves, closed 1-form, Martinet singularity, sheaf of infinitesimal automorphisms.
Submitted by: V. V. Lychagin
Received: 02.08.2006
Bibliographic databases:
Language: English
Citation: M. A. Malakhaltsev, “Differential complex associated to closed differential forms of nonconstant rank”, Lobachevskii J. Math., 23 (2006), 183–192
Citation in format AMSBIB
\Bibitem{Mal06}
\by M.~A.~Malakhaltsev
\paper Differential complex associated to closed differential forms of nonconstant rank
\jour Lobachevskii J. Math.
\yr 2006
\vol 23
\pages 183--192
\mathnet{http://mi.mathnet.ru/ljm21}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2293369}
\zmath{https://zbmath.org/?q=an:1118.58009}
Linking options:
  • https://www.mathnet.ru/eng/ljm21
  • https://www.mathnet.ru/eng/ljm/v23/p183
  • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Lobachevskii Journal of Mathematics
    Statistics & downloads:
    Abstract page:329
    Full-text PDF :106
    References:68
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024