On the Index Formula for an Isometric Diffeomorphism

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Autoren

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

Organisationseinheiten

Externe Organisationen

  • Peoples' Friendship University of Russia (RUDN)
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Details

OriginalspracheEnglisch
Seiten (von - bis)818-829
Seitenumfang12
FachzeitschriftJournal of Mathematical Sciences (United States)
Jahrgang201
Ausgabenummer6
PublikationsstatusVeröffentlicht - 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 Sachgebiete

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On the Index Formula for an Isometric Diffeomorphism. / Savin, A. Yu; Sternin, B. Yu; Schrohe, E.
in: Journal of Mathematical Sciences (United States), Jahrgang 201, Nr. 6, 22.08.2014, S. 818-829.

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Savin, AY, Sternin, BY & Schrohe, E 2014, 'On the Index Formula for an Isometric Diffeomorphism', Journal of Mathematical Sciences (United States), Jg. 201, Nr. 6, S. 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 ; Jahrgang 201, Nr. 6. S. 818-829.
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