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

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.

final version

References in corpus (1)

• Canonical smoothing of compact Alexandrov surfaces via Ricci flow

Cited by in corpus (1)

• Some local Maximum principles along Ricci Flow