5 papers
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…
Completeness of closed Kleinian flat Pseudo-Riemannian Manifolds of Signature (2,2)
Farid Diaf, Blandine Galiay, Malek Hanounah
Let denote the model space of flat pseudo-Riemannian manifolds of signature . We prove that the only domain divisible by a discrete subgroup of the isomet…
Proper Almost-Homogeneous Domains of the Einstein Universe
Adam Chalumeau, Blandine Galiay
The Einstein universe of signature is a pseudo-Riemannian analogue of the conformal sphere; it is the conformal compactification of the pseudo-Riemanni…
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…
Transverse groups preserving proper domains in flag manifolds
Blandine Galiay
Given a semisimple Lie group and a self-opposite flag manifold of , we establish a necessary condition for an infinite subgroup of to preserve a proper…