Gromov-Hausdorff limits of immortal K\"ahler-Ricci flows
Differential Geometry
2026-05-21 v2 Complex Variables
Metric Geometry
Abstract
We show that the normalized K\"ahler-Ricci flow on a compact K\"ahler manifold with semiample canonical bundle converges in the Gromov-Hausdorff topology to the metric completion of the twisted K\"ahler-Einstein metric on the canonical model, as conjectured by Song-Tian's analytic mimimal model program.
Keywords
Cite
@article{arxiv.2602.19913,
title = {Gromov-Hausdorff limits of immortal K\"ahler-Ricci flows},
author = {Man-Chun Lee and Valentino Tosatti and Junsheng Zhang},
journal= {arXiv preprint arXiv:2602.19913},
year = {2026}
}
Comments
35 pages; fixed a gap and typos