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The K\"ahler-Ricci flow with positive bisectional curvature

Differential Geometry 2018-12-20 v1

Abstract

We show that the K\"ahler-Ricci flow on a manifold with positive first Chern class converges to a K\"ahler-Einstein metric assuming positive bisectional curvature and certain stability conditions.

Keywords

Cite

@article{arxiv.0706.2852,
  title  = {The K\"ahler-Ricci flow with positive bisectional curvature},
  author = {D. H. Phong and Jian Song and Jacob Sturm and Ben Weinkove},
  journal= {arXiv preprint arXiv:0706.2852},
  year   = {2018}
}

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15 pages