Publication details

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.
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