On Kahler manifolds with harmonic Bochner curvature tensor

초록

We prove that every irreducible Kahler manifold with harmonic Bochner curvature tensor and constant scalar curvature is Kahler-Einstein and that every irreducible compact Kahler manifold with harmonic Bochner curvature tensor and negative semi-definite Ricci tensor is Kahler-Einstein.

키워드