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@article{1095494, author = {Bezvitnaya, Natalia}, article_number = {2}, doi = {http://dx.doi.org/10.1016/j.difgeo.2012.11.001}, keywords = {Pseudo-hyper-Kählerian manifold; Holonomy algebra; Curvature tensor; Symmetric space}, language = {eng}, issn = {0926-2245}, journal = {Differential Geometry and its Applications}, title = {Holonomy algebras of pseudo-hyper-Kählerian manifolds of index 4}, volume = {31}, year = {2013} }
TY - JOUR ID - 1095494 AU - Bezvitnaya, Natalia PY - 2013 TI - Holonomy algebras of pseudo-hyper-Kählerian manifolds of index 4 JF - Differential Geometry and its Applications VL - 31 IS - 2 SP - 284--299 EP - 284--299 SN - 09262245 KW - Pseudo-hyper-Kählerian manifold KW - Holonomy algebra KW - Curvature tensor KW - Symmetric space N2 - The holonomy algebra of a pseudo-hyper-Kählerian manifold of signature (4,4n+4) is a subalgebra of sp(1,n+1). Possible holonomy algebras of these manifolds are classified. Using this, a new proof of the classification of simply connected pseudo-hyper-Kählerian symmetric spaces of index 4 is obtained. ER -
BEZVITNAYA, Natalia. Holonomy algebras of pseudo-hyper-Kählerian manifolds of index 4. \textit{Differential Geometry and its Applications}. 2013, vol.~31, No~2, p.~284--299. ISSN~0926-2245. Available from: https://dx.doi.org/10.1016/j.difgeo.2012.11.001.
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