J. Van der Veken

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math.DG2024

On minimal homogeneous submanifolds of the hyperbolic space up to codimension two

Felippe Guimarães, Joeri Van der Veken

We show that a minimal homogeneous submanifold $M^{n}$ , $n \geq 5$ , of a hyperbolic space up to codimension two is totally geodesic.

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.