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, 2011, Volume 90, Issue 5, Pages 712–726
DOI: https://doi.org/10.4213/mzm8828 (Mi mzm8828) 		 
This article is cited in 6 scientific papers (total in 6 papers)

On the Index of Nonlocal Elliptic Operators Corresponding to a Nonisometric Diffeomorphism

A. Yu. Savin

Peoples Friendship University of Russia, Moscow
Full-text PDF (588 kB) Citations (6)
References:
PDF
HTML
DOI: https://doi.org/10.4213/mzm8828
Abstract: We consider nonlocal elliptic operators corresponding to diffeomorphisms of smooth closed manifolds. The index of such operators is calculated. More precisely, it was shown that the index of the operator is equal to that of the elliptic boundary-value problem on the cylinder whose base is the original manifold. As an example, we study nonlocal operators on the two-dimensional Riemannian manifold corresponding to the Euler tangent operator.
Keywords: nonlocal elliptic operator, index of an elliptic operator, Riemannian manifold, elliptic boundary-value problem, diffeomorphism, Euler tangent operator, ellipticity condition, Fredholm property.
Received: 17.05.2010
Revised: 08.02.2011
English version:
Mathematical Notes, 2011, Volume 90, Issue 5, Pages 701–714
DOI: https://doi.org/10.1134/S0001434611110083
Bibliographic databases:
Document Type: Article
UDC: 515.168.5+517.956.22
Language: Russian
Citation: A. Yu. Savin, “On the Index of Nonlocal Elliptic Operators Corresponding to a Nonisometric Diffeomorphism”, Mat. Zametki, 90:5 (2011), 712–726; Math. Notes, 90:5 (2011), 701–714
Citation in format AMSBIB
\Bibitem{Sav11}
\by A.~Yu.~Savin
\paper On the Index of Nonlocal Elliptic Operators Corresponding to a Nonisometric Diffeomorphism
\jour Mat. Zametki
\yr 2011
\vol 90
\issue 5
\pages 712--726
\mathnet{http://mi.mathnet.ru/mzm8828}
\crossref{https://doi.org/10.4213/mzm8828}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2962561}
\transl
\jour Math. Notes
\yr 2011
\vol 90
\issue 5
\pages 701--714
\crossref{https://doi.org/10.1134/S0001434611110083}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000298659000008}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-83755200054}
Linking options:
  • https://www.mathnet.ru/eng/mzm8828
  • https://doi.org/10.4213/mzm8828
  • https://www.mathnet.ru/eng/mzm/v90/i5/p712
    • This publication is cited in the following 6 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:452
    Full-text PDF :215
    References:68
    First page:11
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024