Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika
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


Izv. Vyssh. Uchebn. Zaved. Mat.:
Year:
Volume:
Issue:
Page:
Find




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

Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2017, Number 3, Pages 51–57 (Mi ivm9216)  
This article is cited in 1 scientific paper (total in 1 paper)

Harmonic and conformally Killing forms on complete Riemannian manifold

S. E. Stepanova, I. I. Tsyganoka, T. V. Dmitrievab

a Financial University at the Government of the Russian Federation, 49–55 Leningradskii Ave., Moscow, 125993 Russia
b Russian State Social University, 4 Wilhelm Pieck str., Bld. 1, Moscow, 129226, Russia
Full-text PDF (190 kB) Citations (1)
References:
PDF
HTML
Abstract: We present a classification of complete locally irreducible Riemannian manifolds with nonnegative curvature operator, which admit a nonzero and nondecomposable harmonic form with its square-integrable norm. We prove a vanishing theorem for harmonic forms on complete generic Riemannian manifolds with nonnegative curvature operator. We obtain similar results for closed and co-closed conformal Killing forms.
Keywords: complete Riemannian manifold, curvature operator, harmonic forms, conformal Killing forms, classification theorem, vanishing theorem.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00756_a
16-01-00053_a
Received: 13.09.2015
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2017, Volume 61, Issue 3, Pages 44–48
DOI: https://doi.org/10.3103/S1066369X17030057
Bibliographic databases:
Document Type: Article
UDC: 514.764
Language: Russian
Citation: S. E. Stepanov, I. I. Tsyganok, T. V. Dmitrieva, “Harmonic and conformally Killing forms on complete Riemannian manifold”, Izv. Vyssh. Uchebn. Zaved. Mat., 2017, no. 3, 51–57; Russian Math. (Iz. VUZ), 61:3 (2017), 44–48
Citation in format AMSBIB
\Bibitem{SteTsyDmi17}
\by S.~E.~Stepanov, I.~I.~Tsyganok, T.~V.~Dmitrieva
\paper Harmonic and conformally Killing forms on complete Riemannian manifold
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2017
\issue 3
\pages 51--57
\mathnet{http://mi.mathnet.ru/ivm9216}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2017
\vol 61
\issue 3
\pages 44--48
\crossref{https://doi.org/10.3103/S1066369X17030057}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000408837700005}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85014777119}
Linking options:
  • https://www.mathnet.ru/eng/ivm9216
  • https://www.mathnet.ru/eng/ivm/y2017/i3/p51
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024