Publication details
Holonomy algebras of pseudo-hyper-Kählerian manifolds of index 4
| Authors | |
|---|---|
| Year of publication | 2013 |
| Type | Article in Periodical |
| Magazine / Source | Differential Geometry and its Applications |
| MU Faculty or unit | |
| Citation | |
| Doi | http://dx.doi.org/10.1016/j.difgeo.2012.11.001 |
| Field | General mathematics |
| Keywords | Pseudo-hyper-Kählerian manifold; Holonomy algebra; Curvature tensor; Symmetric space |
| Description | The holonomy algebra of a pseudo-hyper-Kählerian manifold of signature (4,4n+4) is a subalgebra of sp(1,n+1). Possible holonomy algebras of these manifolds are classified. Using this, a new proof of the classification of simply connected pseudo-hyper-Kählerian symmetric spaces of index 4 is obtained. |
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