Topological entropy for geodesic flows under a Ricci curvature condition

Paeng, Seong-Hun

doi:10.1090/S0002-9939-97-03780-5

Topological entropy for geodesic flows under a Ricci curvature condition
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by Seong-Hun Paeng PDF

Proc. Amer. Math. Soc. 125 (1997), 1873-1879 Request permission

Abstract:

It is known that the topological entropy for the geodesic flow on a Riemannian manifold $M$ is bounded if the absolute value of sectional curvature $|K_{M}|$ is bounded. We replace this condition by the condition of Ricci curvature and injectivity radius.

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