3 papers
math.DG2025
Ricci solitons of special Lorentzian Lie groups with a four-dimensional isometry group
Giovanni Calvaruso, Lorenzo Pellegrino, Amirhesam Zaeim
In the framework of the study of homogeneous Lorentzian three-manifolds, we consider here the only class of examples which admit a four-dimensional group of isometries but are neit…
math.DG2023
Totally Geodesic and Parallel Hypersurfaces of Siklos Spacetimes
Giovanni Calvaruso, Lorenzo Pellegrino, Joeri Van der Veken
We classify and describe totally geodesic and parallel hypersurfaces for the entire class of Siklos spacetimes. A large class of minimal hypersurfaces is also described.
math.DG2023
Totally Geodesic and Parallel Hypersurfaces of Gödel-type spacetimes
Giovanni Calvaruso, Lorenzo Pellegrino, Joeri Van der Veken
We classify parallel and totally geodesic hypersurfaces of the relevant class of Gödel-type spacetimes, with particular regard to the homogeneous examples.