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Geometric aspects of transversal Killing spinors on Riemannian flows. (English) Zbl 1177.53025

One of the main statements proved in the paper under review provides integrability conditions for spin Riemannian flows that allow for non-zero transversal Killing spinors. Versions of these conditions are then explored in the framework of Sasakian manifolds. The paper concludes by a classification of compact 3-dimensional \(\eta\)-Einstein minimal Riemannian flows carrying non-zero transversal Killing spinors.

MSC:

53C12 Foliations (differential geometric aspects)
53C27 Spin and Spin\({}^c\) geometry
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