Publication details
Bochner-Kähler metrics and connections of Ricci type
| Authors | |
|---|---|
| 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 | |
| Citation | |
| Web | http://arxiv.org/pdf/0710.0164 |
| 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. |