The Chern-Ricci flow and holomorphic bisectional curvature

preprint2016arXivOpen access

Abstract

In this note, we show that on Hopf manifold S2n−1×S1\mathbb S^{2n-1}\times \mathbb S^1, the non-negativity of the holomorphic bisectional curvature is not preserved along the Chern-Ricci flow.

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