Parallel and totally geodesic hypersurfaces of non-reductive homogeneous four-manifolds

Giovanni Calvaruso; Reinier Storm; Joeri Van der Veken

Parallel and totally geodesic hypersurfaces of non-reductive homogeneous four-manifolds

Differential Geometry 2018-09-19 v1

Authors: Giovanni Calvaruso , Reinier Storm , Joeri Van der Veken

Abstract

We classify totally geodesic and parallel hypersurfaces of four-dimensional non-reductive homogeneous pseudo-Riemannian manifolds.

Keywords

totally geodesic hypersurfaces parallel hypersurfaces non-reductive homogeneous manifolds pseudo-riemannian geometry four-manifolds

Cite

@article{arxiv.1809.06631,
  title  = {Parallel and totally geodesic hypersurfaces of non-reductive homogeneous four-manifolds},
  author = {Giovanni Calvaruso and Reinier Storm and Joeri Van der Veken},
  journal= {arXiv preprint arXiv:1809.06631},
  year   = {2018}
}