On rigidity properties of contact time changes of locally symmetric geodesic flows

Jeffrey Boland

doi:10.3934/dcds.2000.6.645

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2000, Volume 6, Issue 3: 645-650. Doi: 10.3934/dcds.2000.6.645

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On rigidity properties of contact time changes of locally symmetric geodesic flows

Jeffrey Boland^1,

1.
Department of Mathematics and Statistics, McMaster University, Hamilton, Canada, L8S 4K1

Received: December 31, 1998

Revised: August 31, 1999

Published: June 2000

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Abstract

In analogy with the geometric $1/4$-pinching and entropy rigidiity of compact negatively curved locally symmetric spaces, we study in this note the dynamical rigidity of contact time changes of the geodesic flow for these spaces.

Keywords:

Symmetric geodesic flows,
contact time changes.

Mathematics Subject Classification: Primary: 58F15, 58F17, 58F11; Secondary: 53C35.

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