4 papers
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 , , of a hyperbolic space up to codimension two is totally geodesic.
Approximating maps into manifolds with lower curvature bounds
Simon Jacobsson, Raf Vandebril, Joeri van der Veken +1
Many interesting functions arising in applications map into Riemannian manifolds. We present an algorithm, using the manifold exponential and logarithm, for approximating such func…
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.
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.