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Some complete Ricci-flat Kähler metrics in $ {\bf C}{\rm P}\sp 2$


Author: Chun Chung Hsieh
Journal: Proc. Amer. Math. Soc. 123 (1995), 1873-1877
MSC: Primary 53C55; Secondary 35J60
DOI: https://doi.org/10.1090/S0002-9939-1995-1257110-7
MathSciNet review: 1257110
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Abstract: In this article, we give an explicit construction of complete Ricci-flat Kahler metrics in $ \mathbb{C}{P^2}\backslash ${three complex lines in general position}.


References [Enhancements On Off] (What's this?)

  • [1] G. Tian and S.-T. Yau, Complete Kahler manifolds with zero Ricci curvature I, J. Amer. Math. Soc. 3 (1990), 576-609. MR 1040196 (91a:53096)
  • [2] -, Complete Kahler manifolds with zero Ricci curvature II, Invent. Math. 106 (1991), 27-60. MR 1123371 (92j:32028)
  • [3] S.-T. Yau, On the Ricci curvature of a compact Kahler manifold and the complex Monge-Ampere Equation I $ ^ \ast $, Comm. Pure Appl. Math. 31 (1978), 339-411. MR 480350 (81d:53045)

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1995-1257110-7
Article copyright: © Copyright 1995 American Mathematical Society

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