Geometric aspects of transversal Killing spinors on Riemannian flows

Details Geometric aspects of transversal Killing spinors on Riemannian flows Geometric aspects of transversal Killing spinors on Riemannian flows

2008-09-16

arxiv.org/abs/0809.2679v1

Mathematics

Differential Geometry

Scientific paper

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.

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