Gromov-Hausdorff limits of K\"ahler manifolds with bisectional curvature lower bound I

Gang Liu

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arXiv · 1505.07521

Gromov-Hausdorff limits of K\"ahler manifolds with bisectional curvature lower bound I

Gang Liu

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Abstract

Given a sequence of complete(compact or noncompact) K\"ahler manifolds $M^n_i$ 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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BibTeX RIS

Gang Liu. 2015-05-28. Gromov-Hausdorff limits of K\"ahler manifolds with bisectional curvature lower bound I. https://arxiv.org/abs/1505.07521

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