Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4606055 | Differential Geometry and its Applications | 2013 | 16 Pages |
Abstract
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Natalia I. Bezvitnaya,