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.
Original language | English (US) |
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Pages (from-to) | 1309-1332 |
Number of pages | 24 |
Journal | Analysis and PDE |
Volume | 14 |
Issue number | 4 |
DOIs | |
State | Published - 2021 |
Keywords
- Hermitian manifold
- holomorphic bisectional curvature
- noncompact Kähler-Einstein metrics
ASJC Scopus subject areas
- Analysis
- Numerical Analysis
- Applied Mathematics