Wolfgang Globke

activity

20102021

most citedLocally homogeneous pp-waves

18 citations · 45 across the 15 of their papers we have counts for

collaborators

16 papers

math.RT2021

A note on étale representations from nilpotent orbits

Heiko Dietrich, Wolfgang Globke, Marcos Origlia

A linear étale representation of a complex algebraic group $G$ is given by a complex algebraic $G$ -module $V$ such that $G$ has a Zariski-open orbit on $V$ and $dim G = dim V$ . A c…

math.DG2020

Rigidity of pseudo-Hermitian homogeneous spaces of finite volume

Oliver Baues, Wolfgang Globke, Abdelghani Zeghib

Let $M$ be a pseudo-Hermitian homogeneous space of finite volume. We show that $M$ is compact and the identity component $G$ of the group of holomorphic isometries of $M$ is compac…

cs.IT2019

Information geometry and asymptotic geodesics on the space of normal distributions

Wolfgang Globke, Raul Quiroga-Barranco

The family $N$ of $n$ -variate normal distributions is parameterized by the cone of positive definite symmetric $n \times n$ -matrices and the $n$ -dimensional real vector sp…

math.DG2018

On compact homogeneous $G_{2 (2)}$ -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…

math.DG2018

Simply connected indefinite homogeneous spaces of finite volume

Oliver Baues, Wolfgang Globke, Abdelghani Zeghib

Let $M$ be a simply connected pseudo-Riemannian homogeneous space of finite volume with isometry group $G$ . We show that $M$ is compact and that the solvable radical of $G$ is abel…

math.DG2018★ 4 cited

Isometry Lie algebras of indefinite homogeneous spaces of finite volume

Oliver Baues, Wolfgang Globke, Abdelghani Zeghib

Let $g$ be a real finite-dimensional Lie algebra equipped with a symmetric bilinear form $⟨ \cdot, \cdot ⟩$ . We assume that $⟨ \cdot, \cdot ⟩$ is nil-…

math.RT2017★ 3 cited

Etale representations for reductive algebraic groups with factors $S p_{n}$ or $S O_{n}$

Dietrich Burde, Wolfgang Globke, Andrei Minchenko

A complex vector space $V$ is an étale $G$ -module if $G$ acts rationally on $V$ with a Zariski-open orbit and $dim G = dim V$ . Such a module is called super-étale if the stabilizer…

math.DG2016★ 3 cited

Compact pseudo-Riemannian homogeneous Einstein manifolds of low dimension

Wolfgang Globke, Yuri Nikolayevsky

Let $M$ be pseudo-Riemannian homogeneous Einstein manifold of finite volume, and suppose a connected Lie group $G$ acts transitively and isometrically on $M$ . In this situation, th…

math.DG2016★ 1 cited

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…

math.DG2016★ 5 cited

Etale representations for reductive algebraic groups with one-dimensional center

Dietrich Burde, Wolfgang Globke

A complex vector space $V$ is a prehomogeneous $G$ -module if $G$ acts rationally on $V$ with a Zariski-open orbit. The module is called etale if $dim V = dim G$ . We study etale mod…

math.DG2015★ 8 cited

Rigidity of compact pseudo-Riemannian homogeneous spaces for solvable Lie groups

Oliver Baues, Wolfgang Globke

Let $M$ be a compact connected pseudo-Riemannian manifold on which a solvable connected Lie group $G$ of isometries acts transitively. We show that $G$ acts almost freely on $M$ an…

math.DG2014★ 18 cited

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 $2$ -forms, has rank greater t…

math.DG2013

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…

math.DG2012

On the Geometry of Flat Pseudo-Riemannian Homogeneous Spaces

Wolfgang Globke

Let $M$ be complete flat pseudo-Riemannian homogeneous manifold and $Γ\subset\Iso(\RR^n_s)$ its fundamental group. We show that $M$ is a trivial fiber bundle $G/Γ\to M\to\RR^{n-k}$…

math.DG2012★ 1 cited

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…

math.DG2010★ 2 cited

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…

A note on étale representations from nilpotent orbits

Rigidity of pseudo-Hermitian homogeneous spaces of finite volume

Information geometry and asymptotic geodesics on the space of normal distributions

On compact homogeneous G2(2)​-manifolds

Simply connected indefinite homogeneous spaces of finite volume

Isometry Lie algebras of indefinite homogeneous spaces of finite volume

Etale representations for reductive algebraic groups with factors Spn​ or SOn​

Compact pseudo-Riemannian homogeneous Einstein manifolds of low dimension

Tables of prehomogeneous modules and étale modules of reductive algebraic groups

Etale representations for reductive algebraic groups with one-dimensional center

Rigidity of compact pseudo-Riemannian homogeneous spaces for solvable Lie groups

Locally homogeneous pp-waves

A Supplement to the Classification of Flat Homogeneous Spaces of Signature (m,2)

On the Geometry of Flat Pseudo-Riemannian Homogeneous Spaces

Holonomy Groups of Complete Flat Pseudo-Riemannian Homogeneous Spaces

Flat Pseudo-Riemannian Homogeneous Spaces with Non-Abelian Holonomy Group

On compact homogeneous $G_{2 (2)}$ -manifolds

Etale representations for reductive algebraic groups with factors $S p_{n}$ or $S O_{n}$