Bochner-Kaehler metrics and connections of Ricci type

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...

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Published in:arXiv.org 2007-10
Main Authors: Panak, Martin, Lorenz Schwachhofer
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description 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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title Bochner-Kaehler metrics and connections of Ricci type
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