Closed orbits in homology classes for Anosov flows-Reference-Cited by-同舟云学术

Closed orbits in homology classes for Anosov flows

Published:1993-06 Issue:2 Volume:13 Page:387-408
ISSN:0143-3857
Container-title:Ergodic Theory and Dynamical Systems
language:en
Short-container-title:Ergod. Th. Dynam. Sys.

Author:

Sharp Richard

Abstract

AbstractWe consider transitive Anosov flows φ:M→Mand give necessary and sufficient conditions for every homology class inH1(M,ℤ) to contain a closed φ-orbit. Under these conditions, we derive an asymptotic formula for the number of closed φ-orbits in a fixed homology class, generalizing a result of Katsuda and Sunada.

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics,General Mathematics

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