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The Chern-Ricci flow and holomorphic bisectional curvature

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Abstract

In this note, we show that on Hopf manifold S2n-1 × S1, the non-negativity of the holomorphic bisectional curvature is not preserved along the Chern-Ricci flow.

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Authors and Affiliations

  1. Morningside Center of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190, China

    XiaoKui Yang

  2. Hua Loo-Keng Key Laboratory of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190, China

    XiaoKui Yang

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  1. XiaoKui Yang
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Correspondence to XiaoKui Yang.

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Yang, X. The Chern-Ricci flow and holomorphic bisectional curvature. Sci. China Math. 59, 2199–2204 (2016). https://doi.org/10.1007/s11425-016-5152-3

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  • DOI: https://doi.org/10.1007/s11425-016-5152-3

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