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VOLUME GROWTH ESTIMATES OF MANIFOLDS WITH NONNEGATIVE CURVATURE OUTSIDE A COMPACT SET

VOLUME GROWTH ESTIMATES OF MANIFOLDS WITH NONNEGATIVE CURVATURE OUTSIDE A COMPACT SET
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摘要 In this article, using the properties of Busemann functions, the authors prove that the order of volume growth of Kahler 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. In this article, using the properties of Busemann functions, the authors prove that the order of volume growth of Kahler 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.
出处 《Acta Mathematica Scientia》 SCIE CSCD 2008年第1期86-92,共7页 数学物理学报(B辑英文版)
基金 Supported by NSFC (10401042) Foundation of Department of Education of Zhejiang Province.
关键词 Kahler manifold holomorphic bisectional curvature volume growth Kahler manifold, holomorphic bisectional curvature, volume growth
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参考文献13

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