On the Symmetries of a Kaehler Manifold

Abstract The natural symmetries of Riemannian manifolds are described by the its Riemann curvature tensor. In that sense, most symmetric constant sectional ones. Its generalizations locally manifolds, semisymmetric and pseudosymmetric manifolds. analogous holomorphic Kaehler holomorphically Do they differ in some way from their analogues? Yes, we prove can all be characterized only terms planes. Furthermore, concept manifold is different classical notion proposed Deszcz. We study relations between both definitions pseudosymmetry so called double curvatures sense also present a geometric interpretation complex Tachibana tensor new characterization