3 citations · 7 across the 3 of their papers we have counts for
5 papers · 1 filter
On the structure of pseudo-Riemannian symmetric spaces
Ines Kath, Martin Olbrich
Following our approach to metric Lie algebras developed in math.DG/0312243 we propose a way of understanding pseudo-Riemannian symmetric spaces which are not semi-simple. We introd…
Metric Lie algebras and quadratic extensions
Ines Kath, Martin Olbrich
The present paper contains a systematic study of the structure of metric Lie algebras, i.e., finite-dimensional real Lie algebras equipped with a non-degenerate invariant symmetric…
Metric Lie algebras with maximal isotropic centre
Ines Kath, Martin Olbrich
We investigate a certain class of solvable metric Lie algebras. For this purpose a theory of twofold extensions associated to an orthogonal representation of an abelian Lie algebra…
Doubly Extended Lie Groups - Curvature, Holonomy and Parallel Spinors
Helga Baum, Ines Kath
(This is a revised version of the paper) - In the present paper we study the geometry of doubly extended Lie groups with their natural biinvariant metric. We describe the curvature…
Parallel spinors and holonomy groups on pseudo-Riemannian spinmanifolds
Helga Baum, Ines Kath
We describe the possible holonomy groups of simply connected irreducible non-locally symmetric pseudo-Riemannian spin manifolds which admit parallel spinors.