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 homeo-morphic 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.
Original language | English (US) |
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Pages (from-to) | 1979-2015 |
Number of pages | 37 |
Journal | Geometry and Topology |
Volume | 25 |
Issue number | 4 |
DOIs | |
State | Published - 2021 |
ASJC Scopus subject areas
- Geometry and Topology