20 citations · 22 across the 9 of their papers we have counts for
10 papers
Projective properties of Lorentzian surfaces
Pierre Mounoud
We investigate projective properties of Lorentzian surfaces. In particular, we prove that if T is a non flat torus, then the index of its isometry group in its projective group is…
Affine transformations and parallel lightlike vector fields on compact Lorentzian -manifolds
Charles Boubel, Pierre Mounoud
We describe the compact Lorentzian -manifolds admitting a parallel lightlike vector field. The classification of compact Lorentzian -manifolds admitting non-isometric affine…
Metrics without isometries are generic
Pierre Mounoud
We prove that for any compact manifold of dimension greater than , the set of pseudo-Riemannian metrics having a trivial isometry group contains an open and dense subset of the…
On spacelike Zoll surfaces with symmetries
Pierre Mounoud, Stefan Suhr
Three explicit families of spacelike Zoll surface admitting a Killing field are provided. It allows to prove the existence of spacelike Zoll surface not smoothly conformal to a cov…
Pseudo-Riemannian geodesic foliations by circles
Pierre Mounoud, Stefan Suhr
We investigate under which assumptions an orientable pseudo-Riemannian geodesic foliations by circles is generated by an -action. We construct examples showing that, contrary…
On parallel and symmetric 2-tensorfields on cones over pseudo-Riemannian manifolds
Pierre Mounoud
In this article, we study complete pseudo-Riemannian manifolds whose cone admits a parallel symmetric 2-tensorfield. The situation splits in three cases: nilpotent, decomposable or…