arXiv:1903.04390 Abstract | arXiv Analytics

arXiv:1903.04390 [math.DG]Abstract References Reviews Resources

Gromov-Hausdorff limits of Kähler manifolds with Ricci curvature bounded below, II

Published 2019-03-11Version 1

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.

Comments: 18 pages

Categories: math.DG, math.CV

Keywords: kähler manifolds, study non-collapsed gromov-hausdorff limits, two-sided ricci curvature bounds, normal affine variety, main result

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