Geometric aspects of transversal Killing spinors on Riemannian flows

Nicolas Ginoux (1) , Georges Habib (2)

1 Institut für Mathematik - Geometrie
2 MPI-MiS - Max Planck Institute for Mathematics in the Sciences

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.

Domaines: Géométrie différentielle [math.DG]

Nicolas Ginoux, Georges Habib. Geometric aspects of transversal Killing spinors on Riemannian flows. Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, 2008, 78 (1), pp.69-90. ⟨10.1007/s12188-008-0006-8⟩. ⟨hal-00322108⟩