A note on Kähler-Ricci soliton

Abstract

In this note we provide a proof of the following: Any compact KRS with positive bisectional curvature is biholomorphic to the complex projective space. As a corollary, we obtain an alternative proof of the Frankel conjecture by using the Kähler-Ricci flow.

A lemma added; an error corrected

References in corpus (3)

• Convergence of a Kähler-Ricci flow
• Gradient Kahler Ricci Solitons
• Liouville energy on a topological two sphere