Complex Osserman Kaehler Manifolds

Abstract

Let H be a 4 dimensional almost Hermitian manifold which satisfies the Kaehler identity. Then H is complex Osserman if and only if H has constant holomorphic sectional curvature. We also classify in arbitrary dimensions all the complex Osserman Kaehler manifolds which do not have 3 eigenvalues.

References in corpus (2)

• Conformally Osserman manifolds and self-duality in Riemannian geometry
• Conformally Osserman manifolds