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math.DG2002★ 3 cited
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…
math.DG2002
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…