On Projective Kähler Manifolds of Partially Positive Curvature and Rational Connectedness
On Projective Kähler Manifolds of Partially Positive Curvature and Rational Connectedness
In a previous paper, we proved that a projective Kähler manifold of positive total scalar curvature is uniruled. At the other end of the spectrum, it is a well-known theorem of Campana and Kollár-Miyaoka-Mori that a projective Kähler manifold of positive Ricci curvature is rationally connected. In the present work, …