Second Ricci flow on noncompact Hermitian manifolds

Man-Chun Lee

doi:10.2140/apde.2021.14.1309

Abstract

We first establish short-time existence and a Shi-type estimate of second Ricci flow on complete noncompact Hermitian manifolds. As an application, we use the second Ricci flow to discuss the existence of a Kähler–Ricci metric on complete noncompact Hermitian manifolds.

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Man-Chun Lee. "Second Ricci flow on noncompact Hermitian manifolds." Anal. PDE 14 (4) 1309 - 1332, 2021. https://doi.org/10.2140/apde.2021.14.1309

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Received: 18 June 2019; Accepted: 2 December 2019; Published: 2021

First available in Project Euclid: 6 January 2022

MathSciNet: MR4283695

zbMATH: 1498.53091

Digital Object Identifier: 10.2140/apde.2021.14.1309

Subjects:

Primary: 53C55

Secondary: 53C44

Keywords: Hermitian manifold , holomorphic bisectional curvature , noncompact Kähler–Einstein metrics

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