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arXiv · 1003.2573

Holonomy algebras of pseudo-quaternionic-K\"ahlerian manifolds of signature $(4,4)$

Natalia I. Bezvitnaya
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Abstract

Possible holonomy algebras of pseudo-quaternionic-K\"ahlerian manifolds of signature $(4,4)$ are classified. Using this, a new proof of the classification of simply connected pseudo-quaternionic-K\"ahlerian symmetric spaces of signature $(4,4)$ is obtained.

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Natalia I. Bezvitnaya. 2010-03-12. Holonomy algebras of pseudo-quaternionic-K\"ahlerian manifolds of signature $(4,4)$. https://doi.org/10.1016/j.geomphys.2010.08.006

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