Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1894608 | Journal of Geometry and Physics | 2007 | 14 Pages |
Abstract
It is shown that any proper almost Hermitian structure on a Walker 4-manifold is isotropic Kähler. Moreover, a local description of proper almost Kähler structures that are self-dual, ∗∗-Einstein or Einstein is given and it is proved that any proper strictly almost Kähler Einstein structure is self-dual, Ricci flat and ∗∗-Ricci flat. This is used to supply examples of flat indefinite non-Kähler almost Kähler structures.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
J. Davidov, J.C. Díaz-Ramos, E. García-Río, Y. Matsushita, O. Muškarov, R. Vázquez-Lorenzo,