# Kähler manifolds with almost nonnegative curvature

@article{Lee2021KhlerMW,
title={K{\"a}hler manifolds with almost nonnegative
curvature},
author={Man-Chun Lee and Luen-Fai Tam},
journal={Geometry \& Topology},
year={2021}
}
• Published 6 October 2019
• Mathematics
• Geometry & Topology
In this paper, we construct local and global solutions to the Kahler-Ricci flow from a non-collapsed Kahler manifold with curvature bounded from below. Combines with the mollification technique of McLeod-Simon-Topping, we show that the Gromov-Hausdorff limit of sequence of complete noncompact non-collapsed Kahler manifolds with orthogonal bisectional curvature and Ricci curvature bounded from below is homeomorphic to a complex manifold. We also use it to study the complex structure of complete…
5 Citations
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