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arxiv: 0809.2679 · v1 · submitted 2008-09-16 · 🧮 math.DG

Geometric aspects of transversal Killing spinors on Riemannian flows

classification 🧮 math.DG
keywords riemannianflowsequationkillingaspectscarryingcaseclassify
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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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