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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
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
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
Linking options:
https://www.mathnet.ru/eng/mzm8828https://doi.org/10.4213/mzm8828 https://www.mathnet.ru/eng/mzm/v90/i5/p712
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Abstract page: | 430 | Full-text PDF : | 204 | References: | 60 | First page: | 11 |
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