On the index of nonlocal elliptic operators corresponding to a nonisometric diffeomorphism

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 an 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 tangential Euler operator. © 2011 Pleiades Publishing, Ltd.

Authors
Number of issue
5-6
Language
English
Pages
701-714
Status
Published
Volume
90
Year
2011
Organizations
  • 1 Peoples' Friendship University of Russia, Moscow, Russian Federation
Keywords
boundary-value problem; de Rham cohomology; diffeomorphism; Fredholm property; index of an elliptic operator; nonlocal elliptic operator; operators with shifts; Riemannian manifold; tangential Euler operator
Date of creation
19.10.2018
Date of change
19.10.2018
Short link
https://repository.rudn.ru/en/records/article/record/2421/
Share

Other records