Topological entropy for geodesic flows

under a Ricci curvature condition

Author:
Seong-Hun Paeng

Journal:
Proc. Amer. Math. Soc. **125** (1997), 1873-1879

MSC (1991):
Primary 58F17; Secondary 53C20, 53C21, 53C22

DOI:
https://doi.org/10.1090/S0002-9939-97-03780-5

MathSciNet review:
1372043

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Abstract | References | Similar Articles | Additional Information

Abstract: It is known that the topological entropy for the geodesic flow on a Riemannian manifold is bounded if the absolute value of sectional curvature is bounded. We replace this condition by the condition of Ricci curvature and injectivity radius.

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Additional Information

**Seong-Hun Paeng**

Email:
shpaeng@math.snu.ac.kr

DOI:
https://doi.org/10.1090/S0002-9939-97-03780-5

Received by editor(s):
August 23, 1995

Received by editor(s) in revised form:
October 17, 1995, and December 21, 1995

Additional Notes:
Partially supported by the Basic Science Research Institute Program and in part supported by GARC-KOSEF

Communicated by:
Mary Rees

Article copyright:
© Copyright 1997
American Mathematical Society