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Abstract
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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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Keywords
Hermitian manifold, holomorphic bisectional curvature,
noncompact Kähler–Einstein metrics
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Mathematical Subject Classification 2010
Primary: 53C55
Secondary: 53C44
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Milestones
Received: 18 June 2019
Accepted: 2 December 2019
Published: 6 July 2021
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