Complex Osserman Kaehler Manifolds
classification
🧮 math.DG
keywords
complexkaehlerossermanmanifoldsalmostarbitraryclassifyconstant
read the original 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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