Geometric aspects of transversal Killing spinors on Riemannian flows
  We study a Killing spinor type equation on spin Riemannian flows. We prove integrability conditions and partially classify those Riemannian flows $M$ carrying non-trivial solutions to that equation in case $M$ is a local Riemannian product, a Sasakian manifold or 3-dimensional. 
Nicolas Ginoux, Georges Habib (MPI-MIS)