18 citations · 45 across the 15 of their papers we have counts for
13 papers · 1 filter
Rigidity of pseudo-Hermitian homogeneous spaces of finite volume
Oliver Baues, Wolfgang Globke, Abdelghani Zeghib
Let be a pseudo-Hermitian homogeneous space of finite volume. We show that is compact and the identity component of the group of holomorphic isometries of is compac…
On compact homogeneous -manifolds
Wolfgang Globke
We prove that among all compact homogeneous spaces for an effective transitive action of a Lie group whose Levi subgroup has no compact simple factors, the seven-dimensional flat t…
Simply connected indefinite homogeneous spaces of finite volume
Oliver Baues, Wolfgang Globke, Abdelghani Zeghib
Let be a simply connected pseudo-Riemannian homogeneous space of finite volume with isometry group . We show that is compact and that the solvable radical of is abel…
Isometry Lie algebras of indefinite homogeneous spaces of finite volume
Oliver Baues, Wolfgang Globke, Abdelghani Zeghib
Let be a real finite-dimensional Lie algebra equipped with a symmetric bilinear form . We assume that is nil-…
Compact pseudo-Riemannian homogeneous Einstein manifolds of low dimension
Wolfgang Globke, Yuri Nikolayevsky
Let be pseudo-Riemannian homogeneous Einstein manifold of finite volume, and suppose a connected Lie group acts transitively and isometrically on . In this situation, th…
Tables of prehomogeneous modules and étale modules of reductive algebraic groups
Wolfgang Globke
This document contains tables with the classification of prehomogeneous modules for reductive algebraic groups with up to two simple factors due to Sato, Kimura and many others, as…
Etale representations for reductive algebraic groups with one-dimensional center
Dietrich Burde, Wolfgang Globke
A complex vector space is a prehomogeneous -module if acts rationally on with a Zariski-open orbit. The module is called etale if . We study etale mod…
Rigidity of compact pseudo-Riemannian homogeneous spaces for solvable Lie groups
Oliver Baues, Wolfgang Globke
Let be a compact connected pseudo-Riemannian manifold on which a solvable connected Lie group of isometries acts transitively. We show that acts almost freely on an…
Locally homogeneous pp-waves
Wolfgang Globke, Thomas Leistner
We show that every n-dimensional locally homogeneous pp-wave is a plane wave, provided it is indecomposable and its curvature operator, when acting on -forms, has rank greater t…
A Supplement to the Classification of Flat Homogeneous Spaces of Signature (m,2)
Wolfgang Globke
Duncan and Ihrig (1993) gave a classification of the flat homogeneous spaces of metric signature (m,2), provided that a certain condition on the development image of these spaces h…
On the Geometry of Flat Pseudo-Riemannian Homogeneous Spaces
Wolfgang Globke
Let be complete flat pseudo-Riemannian homogeneous manifold and $Γ\subset\Iso(\RR^n_s)$ its fundamental group. We show that is a trivial fiber bundle $G/Γ\to M\to\RR^{n-k}$…
Holonomy Groups of Complete Flat Pseudo-Riemannian Homogeneous Spaces
Wolfgang Globke
We show that a complete flat pseudo-Riemannian homogeneous manifold with non-abelian linear holonomy is of dimension at least 14. Due to an example constructed in a previous articl…
Flat Pseudo-Riemannian Homogeneous Spaces with Non-Abelian Holonomy Group
Oliver Baues, Wolfgang Globke
We construct homogeneous flat pseudo-Riemannian manifolds with non-abelian fundamental group. In the compact case, all homogeneous flat pseudo-Riemannian manifolds are complete and…