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Volume entropy and integral Ricci curvatures over closed geodesics
Author(s):
Seong-Hun
Paeng
Journal:
Proc. Amer. Math. Soc.
135
(2007),
3677-3684.
MSC (2000):
Primary 53C20;
Secondary 53C23
Posted:
May 2, 2007
MathSciNet review:
2336584
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Additional information
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
Email:
shpaeng@konkuk.ac.kr
DOI:
10.1090/S0002-9939-07-08869-7
PII:
S 0002-9939(07)08869-7
Keywords:
Volume entropy,
simplicial volume,
integral Ricci curvature,
hyperbolic manifold
Received by editor(s):
July 20, 2006
Received by editor(s) in revised form:
August 7, 2006
Posted:
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 of article:
Copyright
2007,
American Mathematical Society
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