Abstract
In this paper, we introduce a geometric flow for Kähler metrics ωt coupled with closed (1, 1)-forms αt on a compact Kähler manifold, whose stationary solution is a constant scalar curvature Kähler (cscK) metric, coupled with a harmonic (1, 1)-form. We establish the long-time existence, i.e., assuming the initial (1, 1)-form α is nonnegative, then the flow exists as long as the norm of the Riemannian curvature tensors are bounded.
Original language | English (US) |
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Pages (from-to) | 1251-1288 |
Number of pages | 38 |
Journal | Communications in Analysis and Geometry |
Volume | 28 |
Issue number | 6 |
DOIs | |
State | Published - Dec 2 2020 |
ASJC Scopus subject areas
- Analysis
- Statistics and Probability
- Geometry and Topology
- Statistics, Probability and Uncertainty