Matematicheskie Zametki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Mat. Zametki:
Year:
Volume:
Issue:
Page:
Find






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


Matematicheskie Zametki, 2009, Volume 86, Issue 1, Pages 126–138
DOI: https://doi.org/10.4213/mzm5249
(Mi mzm5249)
 

This article is cited in 7 scientific papers (total in 7 papers)

On the Geometry of Locally Conformally Almost Cosymplectic Manifolds

S. V. Kharitonova

Moscow State Pedagogical University
Full-text PDF (503 kB) Citations (7)
References:
Abstract: We obtain the complete group of structure equations of a locally conformally almost cosymplectic structure (an $lc\mathscr{AC_S}$-structure in what follows) and compute the components of the Riemannian curvature tensor on the space of the associated $G$-structure. Normal $lc\mathscr{AC_S}$-structures are studied in more detail. In particular, we prove that the contact analogs of A. Gray's second and third curvature identities hold on normal $lc\mathscr{AC_S}$-manifolds, while the contact analog of A. Gray's first identity holds if and only if the manifold is cosymplectic.
Keywords: locally conformally almost cosymplectic structure, almost contact manifold, Riemann curvature tensor, $G$-structure, conformal transformation, structure equations, Gray's identities.
Received: 11.07.2008
Revised: 09.12.2008
English version:
Mathematical Notes, 2009, Volume 86, Issue 1, Pages 121–131
DOI: https://doi.org/10.1134/S0001434609070116
Bibliographic databases:
UDC: 514.76
Language: Russian
Citation: S. V. Kharitonova, “On the Geometry of Locally Conformally Almost Cosymplectic Manifolds”, Mat. Zametki, 86:1 (2009), 126–138; Math. Notes, 86:1 (2009), 121–131
Citation in format AMSBIB
\Bibitem{Kha09}
\by S.~V.~Kharitonova
\paper On the Geometry of Locally Conformally Almost Cosymplectic Manifolds
\jour Mat. Zametki
\yr 2009
\vol 86
\issue 1
\pages 126--138
\mathnet{http://mi.mathnet.ru/mzm5249}
\crossref{https://doi.org/10.4213/mzm5249}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2588643}
\zmath{https://zbmath.org/?q=an:05621807}
\elib{https://elibrary.ru/item.asp?id=15308344}
\transl
\jour Math. Notes
\yr 2009
\vol 86
\issue 1
\pages 121--131
\crossref{https://doi.org/10.1134/S0001434609070116}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000269660400011}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-76249117973}
Linking options:
  • https://www.mathnet.ru/eng/mzm5249
  • https://doi.org/10.4213/mzm5249
  • https://www.mathnet.ru/eng/mzm/v86/i1/p126
  • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математические заметки Mathematical Notes
    Statistics & downloads:
    Abstract page:526
    Full-text PDF :209
    References:76
    First page:10
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024