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Volume entropy and integral Ricci curvatures over closed geodesics |
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| Authors: | Seong-Hun Paeng |
| Affiliation: | Department of Mathematics, Konkuk University, 1 Hwayang-dong, Gwangjin-gu, Seoul 143-701, Korea |
| 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. |
| Keywords: | Volume entropy simplicial volume integral Ricci curvature hyperbolic manifold |
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