Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

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
MathSciNet review: 1372043
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 58F17, 53C20, 53C21, 53C22

Retrieve articles in all journals with MSC (1991): 58F17, 53C20, 53C21, 53C22


Additional Information

Seong-Hun Paeng
Email: shpaeng@math.snu.ac.kr

DOI: http://dx.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