Wolfgang Globke

activity

20182021

collaborators

6 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

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-…

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

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