English

Compact K\"ahler manifolds with positive orthogonal bisectional curvature

Differential Geometry 2017-10-30 v1

Abstract

In this short note, using Siu-Yau's method [14], we give a new proof that any n-dimensional compact Kahler manifold with positive orthogonal bisectional curvature must be biholomorphic to Pn\mathbb{P}^n.

Keywords

Cite

@article{arxiv.1710.10240,
  title  = {Compact K\"ahler manifolds with positive orthogonal bisectional curvature},
  author = {Huitao Feng and Kefeng Liu and Xueyuan Wan},
  journal= {arXiv preprint arXiv:1710.10240},
  year   = {2017}
}

Comments

10 pages, to appear in Math. Res. Lett