Gromov-Hausdorff limits of K\"ahler manifolds with Ricci curvature bounded below, II

G\'abor Sz\'ekelyhidi; Gang Liu

arxiv: 1903.04390 · v2 · pith:IJUHSFEZnew · submitted 2019-03-11 · 🧮 math.DG · math.CV

Gromov-Hausdorff limits of K\"ahler manifolds with Ricci curvature bounded below, II

Gang Liu , G\'abor Sz\'ekelyhidi This is my paper

classification 🧮 math.DG math.CV

keywords ahlercurvaturelimitsmanifoldsriccibelowboundedgromov-hausdorff

0 comments

read the original abstract

We study non-collapsed Gromov-Hausdorff limits of K\"ahler manifolds with Ricci curvature bounded below. Our main result is that each tangent cone is homeomorphic to a normal affine variety. This extends a result of Donaldson-Sun, who considered non-collapsed limits of polarized K\"ahler manifolds with two-sided Ricci curvature bounds.

This paper has not been read by Pith yet.

discussion (0)

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

Uniqueness of some Calabi-Yau metrics on $\mathbf{C}^n$
math.DG 2019-06 unverdicted novelty 6.0

Calabi-Yau metrics on C^n with tangent cone C × A1 are unique up to scaling and isometry.