Abstract
We study the codimension-one totally geodesic foliation perpendicular to a non-singular Killing field of a Lorentzian manifold. We determine the structure of the totally geodesic foliation perpendicular to a non-singular Killing field of a two-dimensional Lorentzian torus containing at least two kinds of leaves.
Citation
Ken YOKUMOTO. "On totally geodesic foliations perpendicular to Killing fields." Hokkaido Math. J. 34 (3) 679 - 688, October 2005. https://doi.org/10.14492/hokmj/1285766292
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