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<p>In this article, we continue to study Kähler metrics on line bundles over projective spaces to find complete Kähler metrics with positive holomorphic sectional curvatures with two very special properties. These two special kinds of examples were not able to be found in our earlier paper of the first author and Ms. Duan. And therefore, we give a further step toward a famous Yau conjecture with the method in the co-homogeneity one geometry.</p>

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Complete Kähler Metrics with Positive Holomorphic Sectional Curvatures on Certain Line Bundles (Related to a Co-Homogeneity One Point of View on an Yau Conjecture) II

  • 期刊论文

  • 发表日期：

    2025年8月15日

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  • Daniel Guan,
  • Mengxiang Liang

摘要

In this article, we continue to study Kähler metrics on line bundles over projective spaces to find complete Kähler metrics with positive holomorphic sectional curvatures with two very special properties. These two special kinds of examples were not able to be found in our earlier paper of the first author and Ms. Duan. And therefore, we give a further step toward a famous Yau conjecture with the method in the co-homogeneity one geometry.