Complex Osserman Kaehler Manifolds
Differential Geometry
2010-03-30 v1
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.
Cite
@article{arxiv.1003.5379,
title = {Complex Osserman Kaehler Manifolds},
author = {Miguel Brozos-Vazquez and Peter Gilkey},
journal= {arXiv preprint arXiv:1003.5379},
year = {2010}
}