Holonomy algebras of pseudo-quaternionic-Kählerian manifolds of signature (4,4)
| Authors | |
|---|---|
| Year of publication | 2010 |
| Type | Article in Periodical |
| Magazine / Source | Journal of Geometry and Physics |
| MU Faculty or unit | |
| Citation | |
| Field | General mathematics |
| Keywords | Pseudo-quaternionic-Kählerian manifold; Pseudo-hyper-Kählerian manifold; Holonomy algebra; Curvature tensor; Symmetric space |
| Description | Possible holonomy algebras of pseudo-quaternionic-Kählerian manifolds of signature (4,4) are classified. Using this, a new proof of the classification of simply connected pseudo-quaternionic-Kählerian symmetric spaces of signature (4,4) is obtained. |
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