Premium
Gromov‐Hausdorff Limits of Kähler Manifolds with Ricci Curvature Bounded Below II
Author(s) -
Liu Gang,
Szekelyhidi Gábor
Publication year - 2021
Publication title -
communications on pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.12
H-Index - 115
eISSN - 1097-0312
pISSN - 0010-3640
DOI - 10.1002/cpa.21900
Subject(s) - mathematics , ricci curvature , bounded function , tangent , pure mathematics , curvature , ricci flat manifold , mathematical analysis , geometry , scalar curvature
We study noncollapsed Gromov‐Hausdorff limits of Kähler 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 noncollapsed limits of polarized Kähler manifolds with two‐sided Ricci curvature bounds. © 2019 Wiley Periodicals LLC