Comparison geometry of holomorphic bisectional curvature for Kaehler manifolds and limit spaces

John Lott

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arXiv · 2005.02906

Comparison geometry of holomorphic bisectional curvature for Kaehler manifolds and limit spaces

John Lott

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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.

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John Lott. 2020-05-06. Comparison geometry of holomorphic bisectional curvature for Kaehler manifolds and limit spaces. https://arxiv.org/abs/2005.02906

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