Abstract
We construct local and global solutions to the Kähler–Ricci flow from a noncollapsed Kähler manifold with curvature bounded from below. Combining with the mollification technique of McLeod–Simon–Topping, we show that the Gromov–Hausdorff limit of a sequence of complete noncompact noncollapsed Kähler 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 Kähler manifolds with nonnegative orthogonal bisectional curvature, nonnegative Ricci curvature and maximal volume growth.
Citation
Man-Chun Lee. Luen-Fai Tam. "Kähler manifolds with almost nonnegative curvature." Geom. Topol. 25 (4) 1979 - 2015, 2021. https://doi.org/10.2140/gt.2021.25.1979
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