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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)
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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
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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