Publication details

Bochner-Kähler metrics and connections of Ricci type



Year of publication 2008
Type Article in Proceedings
Conference Proceedings of the 10th International Conference on Differential Geometry and Its Applications 2007, Differential geometry and its applications, 339--352 (2008)
MU Faculty or unit

Faculty of Science

Field General mathematics
Keywords Bochner-Kaehler metric Sasaki metric Ricci type connection Weyl structure
Description In the article we apply the results by Cahen and Schwachhoefer about special symplectic geometries 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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