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Diameter rigidity for Kahler manifolds with positive bisectional curvature

Differential Geometry 2021-08-16 v1

Abstract

We prove that a Kahler manifold with positive bisectional curvature and maximal diameter is isometric to the complex projective space with the Fubini-Study metric.

Keywords

Cite

@article{arxiv.2108.06143,
  title  = {Diameter rigidity for Kahler manifolds with positive bisectional curvature},
  author = {Ved Datar and Harish Seshadri},
  journal= {arXiv preprint arXiv:2108.06143},
  year   = {2021}
}

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7 pages