# On the classification of Killing submersions and their isometries

@article{Manzano2014OnTC, title={On the classification of Killing submersions and their isometries}, author={Jos'e M. Manzano}, journal={Pacific Journal of Mathematics}, year={2014}, volume={270}, pages={367-392} }

A Killing submersion is a Riemannian submersion from an orientable 3-manifold to an orientable surface whose fibers are the inte- gral curves of a unit Killing vector field in the 3-manifold. We classify all Killing submersions over simply-connected Riemannian surfaces and give explicit models for many Killing submersions including those over simply-connected constant Gaussian curvature surfaces. We also fully describe the isometries of the total space preserving the vertical direc- tion. As a… Expand

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