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arxiv: 1307.0066 · v1 · pith:6L4WVW5Knew · submitted 2013-06-29 · 🧮 math.DG

The Chern-Ricci flow on smooth minimal models of general type

Matthew Gill This is my paper
classification 🧮 math.DG
keywords flowchern-ricciconvergesgeneralhermitianminimalsmoothtype
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We show that on a smooth Hermitian minimal model of general type the Chern-Ricci flow converges to a closed positive current on M. Moreover, the flow converges smoothly to a Kahler-Einstein metric on compact sets away from the null locus of K_M. This generalizes work of Tsuji and Tian-Zhang to Hermitian manifolds, providing further evidence that the Chern-Ricci flow is a natural generalization of the Kahler-Ricci flow.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Gromov-Hausdorff limits of the Chern-Ricci flow on smooth Hermitian minimal models of general type

    math.DG 2026-04 unverdicted novelty 7.0

    Chern-Ricci flow on Hermitian minimal models of general type admits uniform estimates yielding subsequential Gromov-Hausdorff convergence under a local Kähler assumption.

  2. Convergence of the Chern-Ricci flow on complex minimal surfaces of general type

    math.DG 2026-05 unverdicted novelty 6.0

    Proves diameter estimates, volume non-collapsing, and Gromov-Hausdorff convergence for normalized Chern-Ricci flow on complex minimal surfaces of general type from arbitrary Hermitian metrics.