Informace o publikaci
Holonomy Classification of Lorentz-Kahler Manifolds
| Autoři | |
|---|---|
| Rok publikování | 2019 |
| Druh | Článek v odborném periodiku |
| Časopis / Zdroj | Journal of Geometric Analysis |
| Citace | |
| Doi | http://dx.doi.org/10.1007/s12220-018-0027-1 |
| Klíčová slova | Lorentz-Kahler manifold; Holonomy group; Complex Walker coordinates; Complex pp-wave; Symmetric space; Space of oriented lines |
| Popis | The classification problem for holonomy of pseudo-Riemannian manifolds is actual and open. In the present paper, holonomy algebras of Lorentz-Kahler manifolds are classified. A simple construction of a metric for each holonomy algebra is given. Complex Walker coordinates are introduced and described using the potential. Complex pp-waves are characterized in terms of the curvature, holonomy, and the potential. Classification of Lorentz-Kahler symmetric spaces is reviewed. |