Complex Osserman Kaehler Manifolds [article]

Miguel Brozos-Vazquez, Peter Gilkey
2010 arXiv   pre-print
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.
arXiv:1003.5379v1 fatcat:kab3bzrurzfbtehatxmdqb6nhi