Bochner-Kaehler metrics and connections of Ricci type
Differential Geometry
2007-10-16 v2
Abstract
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 . 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.
Keywords
Cite
@article{arxiv.0710.0164,
title = {Bochner-Kaehler metrics and connections of Ricci type},
author = {Martin Panak and Lorenz Schwachhofer},
journal= {arXiv preprint arXiv:0710.0164},
year = {2007}
}