Volume Growth Estimates of Manifolds with Nonnegative Curvature Outside a Compact Set |
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| Authors: | Jiao Zhenhua Fu Xiaoyong |
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| Affiliation: | aInstitute of Mathematics, Hangzhou Dianzi University, Hangzhou 310018, China;bDepartment of Mathematics, Zhongshan University, Guangzhou 510275, China |
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| Abstract: | In this article, using the properties of Busemann functions, the authors prove that the order of volume growth of K(a)hler manifolds with certain nonnegative holomorphic bisectional curvature and sectional curvature is at least half of the real dimension. The authors also give a brief proof of a generalized Yau's theorem. |
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| Keywords: | K(a)hler manifold holomorphic bisectional curvature volume growth |
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