Compact Kähler manifolds with positive orthogonal bisectional curvature

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 ${\mathbb{P}}^n$.

arXiv comment10 pages, to appear in Math. Res. Lett