Volume entropy and integral Ricci curvatures over closed geodesics
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Abstract:
We obtain an upper bound of the volume entropy and the simplicial volume with integrals of Ricci curvature over closed geodesics and apply it to the real Schwarz lemma by Besson, Courtois and Gallot.References
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Additional Information
- Seong-Hun Paeng
- Affiliation: Department of Mathematics, Konkuk University, 1 Hwayang-dong, Gwangjin-gu, Seoul 143-701, Korea
- MR Author ID: 603263
- Email: shpaeng@konkuk.ac.kr
- Received by editor(s): July 20, 2006
- Received by editor(s) in revised form: August 7, 2006
- Published electronically: May 2, 2007
- Additional Notes: This work was supported by grant No. R01-2006-000-10047-0(2006) from the Basic Research Program of the Korea Science $\&$ Engineering Foundation.
- Communicated by: Jon G. Wolfson
- © Copyright 2007 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 135 (2007), 3677-3684
- MSC (2000): Primary 53C20; Secondary 53C23
- DOI: https://doi.org/10.1090/S0002-9939-07-08869-7
- MathSciNet review: 2336584