Vol. 14, No. 4, 2021
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Second Ricci flow on noncompact Hermitian manifolds

Man-Chun Lee
Vol. 14 (2021), No. 4, 1309–1332
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.

Keywords
Hermitian manifold, holomorphic bisectional curvature, noncompact Kähler–Einstein metrics
Mathematical Subject Classification 2010
Primary: 53C55
Secondary: 53C44
Milestones
Received: 18 June 2019
Accepted: 2 December 2019
Published: 6 July 2021
Authors
Man-Chun Lee
Department of Mathematics
Northwestern University
Evanston, IL
United States