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arXiv · 1003.5379

Complex Osserman Kaehler Manifolds

Miguel Brozos-Vazquez·Peter Gilkey
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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.

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Miguel Brozos-Vazquez, Peter Gilkey. 2010-03-28. Complex Osserman Kaehler Manifolds. https://arxiv.org/abs/1003.5379

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