6 citations · 17 across the 5 of their papers we have counts for
5 papers
Holonomy algebras of pseudo-hyper-Kählerian manifolds of index 4
Natalia I. Bezvitnaya
The holonomy algebra of a pseudo-hyper-Kählerian manifold of signature is a subalgebra of $\sp(1,n+1)$. Possible holonomy algebras of these manifolds are classified. Usi…
Holonomy groups of pseudo-quaternionic-Kählerian manifolds of non-zero scalar curvature
Natalia I. Bezvitnaya
The holonomy group of a pseudo-quaternionic-Kählerian manifold of signature with non-zero scalar curvature is contained in $\Sp(1)\cdot\Sp(r,s)$ and it contains $\Sp(…
Holonomy algebras of pseudo-quaternionic-Kählerian manifolds of signature
Natalia I. Bezvitnaya
Possible holonomy algebras of pseudo-quaternionic-Kählerian manifolds of signature are classified. Using this, a new proof of the classification of simply connected pseudo-…
Weakly irreducible subgroups of
Natalia I. Bezvitnaya
Connected weakly irreducible not irreducible subgroups of that satisfy a certain additional condition are classified. This will be used to classify co…
Lightlike foliations on Lorentzian manifolds with weakly irreducible holonomy algebra
Natalia Bezvitnaya
We study the lightlike foliations that appear on Lorentzian manifolds with weakly irreducible not irreducible holonomy algebra. We give global structure equations for the foliation…