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

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

2010-03-12

arxiv.org/abs/1003.2573v2

Journal of Geometry and Physics 60 (2010), 1984-1996

Mathematics

Differential Geometry

16 pages

Scientific paper

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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