On the Index Formula for an Isometric Diffeomorphism

Research output: Contribution to journal › Article › Research › peer review

Authors

  • A. Yu Savin
  • B. Yu Sternin
  • E. Schrohe

Research Organisations

External Research Organisations

  • Peoples' Friendship University of Russia (RUDN)
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Details

Original languageEnglish
Pages (from-to)818-829
Number of pages12
JournalJournal of Mathematical Sciences (United States)
Volume201
Issue number6
Publication statusPublished - 22 Aug 2014

Abstract

We give an elementary solution to the problem of the index of elliptic operators associated with shift operator along the trajectories of an isometric diffeomorphism of a smooth closed manifold. This solution is based on index-preserving reduction of the operator under consideration to some elliptic pseudo-differential operator on a higher-dimension manifold and on the application of the Atiyah–Singer formula. The final formula of the index is given in terms of the symbol of the operator on the original manifold.

ASJC Scopus subject areas

Cite this

On the Index Formula for an Isometric Diffeomorphism. / Savin, A. Yu; Sternin, B. Yu; Schrohe, E.
In: Journal of Mathematical Sciences (United States), Vol. 201, No. 6, 22.08.2014, p. 818-829.

Research output: Contribution to journal › Article › Research › peer review

Savin, AY, Sternin, BY & Schrohe, E 2014, 'On the Index Formula for an Isometric Diffeomorphism', Journal of Mathematical Sciences (United States), vol. 201, no. 6, pp. 818-829. https://doi.org/10.1007/s10958-014-2027-4
Savin, A. Y., Sternin, B. Y., & Schrohe, E. (2014). On the Index Formula for an Isometric Diffeomorphism. Journal of Mathematical Sciences (United States), 201(6), 818-829. https://doi.org/10.1007/s10958-014-2027-4
Savin AY, Sternin BY, Schrohe E. On the Index Formula for an Isometric Diffeomorphism. Journal of Mathematical Sciences (United States). 2014 Aug 22;201(6):818-829. doi: 10.1007/s10958-014-2027-4
Savin, A. Yu ; Sternin, B. Yu ; Schrohe, E. / On the Index Formula for an Isometric Diffeomorphism. In: Journal of Mathematical Sciences (United States). 2014 ; Vol. 201, No. 6. pp. 818-829.
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