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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, roč.~31, č.~2, s.~284--299. ISSN~0926-2245. Dostupné z: https://dx.doi.org/10.1016/j.difgeo.2012.11.001.
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