Comparison geometry of holomorphic bisectional curvature for Kaehler manifolds and limit spaces
Differential Geometry
2021-01-26 v3
Abstract
We give an analog of triangle comparison for Kaehler manifolds with a lower bound on the holomorphic bisectional curvature. We show that the condition passes to noncollapsed Gromov-Hausdorff limits. We discuss tangent cones and singular Kaehler spaces.
Keywords
Cite
@article{arxiv.2005.02906,
title = {Comparison geometry of holomorphic bisectional curvature for Kaehler manifolds and limit spaces},
author = {John Lott},
journal= {arXiv preprint arXiv:2005.02906},
year = {2021}
}
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final version