Bochner-Kaehler metrics and connections of Ricci type

Details Bochner-Kaehler metrics and connections of Ricci type Bochner-Kaehler metrics and connections of Ricci type

2007-09-30

arxiv.org/abs/0710.0164v2

Mathematics

Differential Geometry

Scientific paper

We apply the results from the article Cahen, Schwachh\"ofer: Special symplectic connections, to the case of Bochner-Kaehler metrics. We obtain a (local) classification of these based on the orbit types of the adjoint action in $su(n,1)$. The relation between Sasaki and Bochner-Kaehler metrics in cone and transveral metrics constructions is discussed. The connection of the special symplectic and Weyl connections is outlined. The duality between the Ricci-type and Bochner-Kaehler metrics is shown.

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