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math.DG2018
The classification of 7- and 8-dimensional naturally reductive spaces
Reinier Storm
A new method for classifying naturally reductive spaces is presented. This method relies on the structure theory of naturally reductive spaces developed in \cite{Storm2018a} and th…
math.DG2018
Structure theory of naturally reductive spaces
Reinier Storm
The main result of this paper is that every naturally reductive space can be explicitly constructed from the construction in \cite{Storm2018}. This gives us a general formula for a…
math.DG2018
Parallel and totally geodesic hypersurfaces of non-reductive homogeneous four-manifolds
Giovanni Calvaruso, Reinier Storm, Joeri Van der Veken
We classify totally geodesic and parallel hypersurfaces of four-dimensional non-reductive homogeneous pseudo-Riemannian manifolds.