Gromov-Hausdorff limits of Kähler manifolds with bisectional curvature lower bound I

2015/05/28 by Liu, Gang
#Complex Variables (math.CV) #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1505.07521

Abstract

Given a sequence of complete(compact or noncompact) Kähler manifolds Mⁿ_i with bisectional curvature lower bound and noncollapsed volume, we prove that the pointed Gromov-Hausdorff limit is homeomorphic to a normal complex analytic space. The complex analytic structure is the natural "limit" of complex structure of M_i.

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