The modified K\"ahler-Ricci flow, II
Haotian Wu, Zhou Zhang
TL;DR
This paper advances the understanding of singularities in the modified K"ahler-Ricci flow by connecting it with recent developments in the classic K"ahler-Ricci flow and complex Monge-Ampère equations.
Contribution
It provides new insights into finite and infinite time singularities of the modified K"ahler-Ricci flow, building on previous work and related mathematical frameworks.
Findings
Enhanced understanding of singularity formation in the flow
Relation established between modified and classic K"ahler-Ricci flows
Connections made with complex Monge-Ampère equations
Abstract
We improve the understanding of both finite time and infinite time singularities of the modified K\"ahler-Ricci flow as initiated by the second author of this paper in [26]. This is done by relating the modified K\"ahler-Ricci flow with the recent studies on the classic K\"ahler-Ricci flow and the degenerate complex Monge-Amp\`ere equation.
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Taxonomy
TopicsGeometry and complex manifolds · Geometric Analysis and Curvature Flows · Black Holes and Theoretical Physics