108 citations · 348 across the 28 of their papers we have counts for
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The geodesics of metric connections with vectorial torsion
Ilka Agricola, Christian Thier
The present note deals with the dynamics of metric connections with vectorial torsion, as already described by E. Cartan in 1925. We show that the geodesics of metric connections w…
Killing spinors in supergravity with 4-fluxes
Ilka Agricola, Thomas Friedrich
We study the spinorial Killing equation of supergravity involving a torsion 3-form $\T$ as well as a flux 4-form $\F$. In dimension seven, we construct explicit families of compact…
On the holonomy of connections with skew-symmetric torsion
Ilka Agricola, Thomas Friedrich
We investigate the holonomy group of a linear metric connection with skew-symmetric torsion. In case of the euclidian space and a constant torsion form this group is always semisim…
The Casimir operator of a metric connection with skew-symmetric torsion
Ilka Agricola, Thomas Friedrich
For any triple consisting of a Riemannian manifold and a metric connection with skew-symmetric torsion we introduce an elliptic, second order operator acting…