Complex Osserman Kaehler Manifolds

Details Complex Osserman Kaehler Manifolds Complex Osserman Kaehler Manifolds

2010-03-28

arxiv.org/abs/1003.5379v1

Mathematics

Differential Geometry

Scientific paper

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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