<scp>Gromov‐Hausdorff</scp> Limits of Kähler Manifolds with Ricci Curvature Bounded Below <scp>II</scp>
Gang Liu, Gábor Székelyhidi
Abstract
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
Topics & Concepts
MathematicsRicci curvatureBounded functionTangentPure mathematicsCurvatureRicci-flat manifoldMathematical analysisGeometryScalar curvatureGeometry and complex manifoldsGeometric Analysis and Curvature FlowsAlgebraic Geometry and Number Theory