Izvestiya: Mathematics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Izv. RAN. Ser. Mat.:
Year:
Volume:
Issue:
Page:
Find






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


Izvestiya: Mathematics, 2015, Volume 79, Issue 2, Pages 375–387
DOI: https://doi.org/10.1070/IM2015v079n02ABEH002746
(Mi im8156)
 

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

The Hodge–de Rham Laplacian and Tachibana operator on a compact Riemannian manifold with curvature operator of definite sign

S. E. Stepanova, J. Mikešb

a Financial University under the Government of the Russian Federation, Moscow
b Palacký University Olomouc
References:
Abstract: We give a comparative analysis of the spectral properties of the Hodge–de Rham and Tachibana operators on compact Riemannian manifolds whose curvature operator is bounded and has a definite sign. We find bounds for their spectra and estimate their multiplicities.
Keywords: Riemannian manifold, curvature operator, elliptic operators, eigenvalues and eigenforms, conformal Killing forms, harmonic forms.
Funding agency Grant number
Czech Science Foundation P201/11/0356
This paper was written with the financial support of the Czech Science Foundation, grant no. P201/11/0356.
Received: 05.08.2013
Revised: 14.02.2014
Bibliographic databases:
Document Type: Article
UDC: 514.764.25+515.168.5
Language: English
Original paper language: Russian
Citation: S. E. Stepanov, J. Mikeš, “The Hodge–de Rham Laplacian and Tachibana operator on a compact Riemannian manifold with curvature operator of definite sign”, Izv. Math., 79:2 (2015), 375–387
Citation in format AMSBIB
\Bibitem{SteMik15}
\by S.~E.~Stepanov, J.~Mike{\v s}
\paper The Hodge--de Rham Laplacian and Tachibana operator on a~compact Riemannian
manifold with curvature operator of definite sign
\jour Izv. Math.
\yr 2015
\vol 79
\issue 2
\pages 375--387
\mathnet{http://mi.mathnet.ru//eng/im8156}
\crossref{https://doi.org/10.1070/IM2015v079n02ABEH002746}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3352594}
\zmath{https://zbmath.org/?q=an:06443927}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2015IzMat..79..375S}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000353635400007}
\elib{https://elibrary.ru/item.asp?id=23421426}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84928654166}
Linking options:
  • https://www.mathnet.ru/eng/im8156
  • https://doi.org/10.1070/IM2015v079n02ABEH002746
  • https://www.mathnet.ru/eng/im/v79/i2/p167
  • 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
    Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:915
    Russian version PDF:413
    English version PDF:34
    References:87
    First page:51
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024