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A Comparison-estimate of the second Rauch type for Ricci curvature |
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| Authors: | Zisheng Hu Senlin Xu |
| Institution: | (1) Department of Mathematics and Statistics, HuaZhong Normal University, Wuhan, Hubei, 430079, China;(2) Department of Mathematics, University of Science and Technology of China, Hefei, Anhui, 230026, China |
| Abstract: | We establish a comparison-estimate of the second Rauch type for Ricci curvature. As an application, we get a result of local splitting for Riemannian manifolds. This work is partly supported by the National Natural Science Foundation (10371047) of China. |
| Keywords: | Ricci curvature Jacobi field Geodesic hypersurface Local splitting |
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