6 papers · 1 filter
A note on Lagrangian submanifolds of twistor spaces and their relation to superminimal surfaces
Reinier Storm
In this paper a bijective correspondence between superminimal surfaces of an oriented Riemannian -manifold and particular Lagrangian submanifolds of the twistor space over the $…
Lagrangian submanifolds of the nearly Kähler full flag manifold
Reinier Storm
In this article the framework created by Cartan to produce local differential invariants for submanifolds of homogeneous spaces is applied to classify all totally geodesic Lagrangi…
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…
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…
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.
A new construction of naturally reductive spaces
Reinier Storm
A new construction of naturally reductive spaces is presented. This construction gives a large amount of new families of naturally reductive spaces. First the infinitesimal models…