The Chern-Ricci flow and holomorphic bisectional curvature

Abstract

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

Sci. China Math. 2016

References in corpus (3)

• The Kähler-Ricci flow on surfaces of positive Kodaira dimension
• Inoue surfaces and the Chern-Ricci flow
• The Chern-Ricci flow on Oeljeklaus-Toma manifolds

Cited by in corpus (4)

• Regularizing properties of Complex Monge-Ampère flows II: Hermitian manifolds
• The Chern-Ricci flow
• A parabolic Monge-Ampère type equation of Gauduchon metrics
• Leafwise flat forms on Inoue-Bombieri surfaces