41 citations · 46 across the 3 of their papers we have counts for
4 papers
On the Geometry of Circle Bundles with Special Holonomy
Daniel Schliebner
We investigate geometric properties of indecomposable but non-irreducible Lorentzian manifolds, which are total spaces of circle bundles. We investigate under which conditions thes…
On Lorentzian manifolds with highest first Betti number
Daniel Schliebner
We consider Lorentzian manifolds with parallel light-like vector field V. Being parallel and light-like, the orthogonal complement of V induces a codimension one foliation. Assumin…
Completeness of compact Lorentzian manifolds with Abelian holonomy
Thomas Leistner, Daniel Schliebner
We address the problem of finding conditions under which a compact Lorentzian manifold is geodesically complete, a property, which always holds for compact Riemannian manifolds. It…
On the Full Holonomy of Lorentzian Manifolds with Parallel Weyl Tensor
Daniel Schliebner
We compute the full holonomy group of compact Lorentzian manifolds with parallel Weyl tensor, which are neither conformally flat nor locally symmetric, for the case where the funda…