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}
}
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… 
Comparison geometry of holomorphic bisectional curvature for Kähler manifolds and limit spaces
  • J. Lott
  • Mathematics
    Duke Mathematical Journal
  • 2021
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We give a uniform L asymptotic expansion of Bergman kernel on the collection of n-dimensional polarized Kähler manifolds (M,ω,L, h) with Ricci lower bound −Λ and noncollapsing condition Vol (B1(x)) ≥

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