Geodesic flows on negatively curved manifolds and the semi-classical zeta function

Tsujii, Masato

doi:10.1090/suga/429

Geodesic flows on negatively curved manifolds and the semi-classical zeta function
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by Masato Tsujii
Translated by: the author

Sugaku Expositions 31 (2018), 69-92

DOI: https://doi.org/10.1090/suga/429

Published electronically: March 20, 2018

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Abstract:

In this article, we report some recent advances in the study of spectral properties of transfer operators for geodesic flows on negatively curved manifolds. We first review related studies, explaining important concepts and introduce basic definitions. We then discuss recent results on spectral properties of the (generator of) transfer operators and also related analytic properties of dynamical zeta functions.

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