Geometric aspects of transversal Killing spinors on Riemannian flows
Differential Geometry
2008-09-17 v1
Abstract
We study a Killing spinor type equation on spin Riemannian flows. We prove integrability conditions and partially classify those Riemannian flows carrying non-trivial solutions to that equation in case is a local Riemannian product, a Sasakian manifold or 3-dimensional.
Keywords
Cite
@article{arxiv.0809.2679,
title = {Geometric aspects of transversal Killing spinors on Riemannian flows},
author = {Nicolas Ginoux and Georges Habib},
journal= {arXiv preprint arXiv:0809.2679},
year = {2008}
}