5 citations · 13 across the 5 of their papers we have counts for
10 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…
Cohomology of convex cocompact groups and invariant distributions on limit sets
Martin Olbrich
This paper contains a thorough investigation of invariant distributions supported on limit sets of discrete groups acting convex cocompactly on symmetric spaces of negative curvatu…
Nonexistence of invariant distributions supported on the limit set
Ulrich Bunke, Martin Olbrich
We obtain sufficient conditions exlcuding the existence of non-trivial distribution sections of bundles over the boundary of symmetric spaces of negative curvature which are invari…
Regularity of invariant distributions
Ulrich Bunke, Martin Olbrich
We consider a geometrically finite discrete group of conformal transformations of the sphere. Further we consider distributions which are supported on the limit set and are invaria…