Blandine Galiay

activity

20212026

collaborators

6 papers

math.GR2026

Metric properties of domains in real-type Nagano spaces

Blandine Galiay

Nagano spaces are compact symmetric spaces that admit large transformation groups. They include for instance all the Grassmannians and the Einstein Universes. In this paper, we stu…

math.DG2026

Completeness of closed Kleinian flat Pseudo-Riemannian Manifolds of Signature (2,2)

Farid Diaf, Blandine Galiay, Malek Hanounah

Let $R^{2, 2}$ denote the model space of flat pseudo-Riemannian manifolds of signature $(2, 2)$ . We prove that the only domain divisible by a discrete subgroup of the isomet…

math.RT2025

Transverse groups preserving proper domains in flag manifolds

Blandine Galiay

Given a semisimple Lie group $G$ and a self-opposite flag manifold $F$ of $G$ , we establish a necessary condition for an infinite subgroup $H$ of $G$ to preserve a proper…

math.GR2024

Rigidity of proper almost-homogeneous domains in positive flag manifolds

Blandine Galiay

We show that, inside the Shilov boundary of any given Hermitian symmetric space of tube type, there is, up to isomorphism, only one proper domain such that every point on its bound…

math.DG2024

Proper Almost-Homogeneous Domains of the Einstein Universe

Adam Chalumeau, Blandine Galiay

The Einstein universe $Ein^{p, q}$ of signature $(p, q)$ is a pseudo-Riemannian analogue of the conformal sphere; it is the conformal compactification of the pseudo-Riemanni…

math.DG2021

Lattices in the four-dimensional split oscillator group

Blandine Galiay, Ines Kath

Besides the oscillator group, there is another four-dimensional non-abelian solvable Lie group that admits a bi-invariant pseudo-Riemannian metric. It is called split oscillator gr…