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A New Proof of Calabi-Yau's Theorem

A New Proof of Calabi-Yau's Theorem
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摘要 We give a new proof of Calabi-Yau's theorem on the volume growth of Rie- mannian manifolds with non-negative Ricci curvature.
作者 FU Xiao-yong
出处 《Chinese Quarterly Journal of Mathematics》 CSCD 北大核心 2007年第4期550-551,共2页 数学季刊(英文版)
基金 Supported by NSFC(10271121)
关键词 Riemannian manifold volume growth Ricci curvature 黎曼几何流形 Calabi-Yau定理 Ricci曲率 体积增长
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参考文献3

  • 1LI Peter. Lecture Notes on Geometric Analysis[M]. Korea: Research Institute of Mathematics, Global Analysis Research Center, Seoul National University, 1993.
  • 2YAU Shing-tung, SCHOEN Richard. Lectures on Differential Geometry[M]. Cambridge, MA: International Press Publications, 1994.
  • 3WU Hong-xi. An elementary method in the study of nonnegative curvature[J]. Acta Math, 1979, 142: 57-78.

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