Calabi-Yau metrics on compact Kähler manifolds with some divisors deleted

Abstract

In this article, we provide a systematic method to construct examples of complete Ricci flat metrics on ℂP², with three lines in the general position deleted by Hsieh [Proc. AMS, 1995, 123: 1873–1877] and generalize them to higher dimensions. In addition, we further show that the examples of Hsieh are indeed all flat.

Keywords

Kähler manifold / Kähler-Einstein metric / complete flat metric

References

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