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Published May 1991 | public
Journal Article

Formulas for the derivative and critical points of topological entropy for Anosov and geodesic flows


This paper represents part of a program to understand the behavior of topological entropy for Anosov and geodesic flows. In this paper, we have two goals. First we obtain some regularity results for C^1 perturbations. Second, and more importantly, we obtain explicit formulas for the derivative of topological entropy. These formulas allow us to characterize the critical points of topological entropy on the space of negatively curved metrics.

Additional Information

© Springer-Verlag 1991. Received April 3, 1989; in revised form September 17, 1990. Partially supported by NSF grant DMS-8514630. Chaim Weizmann Research Fellow and NSF postdoctoral Research Fellow.

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