Holonomy algebras of pseudo-quaternionic-Kählerian manifolds of signature (4,4)

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Authors	BEZVITNAYA Natalia
Year of publication	2010
Type	Article in Periodical
Magazine / Source	Journal of Geometry and Physics
MU Faculty or unit	Faculty of Science
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.
Related projects:	Algebraic and geometric methods and structures