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October 2005 On totally geodesic foliations perpendicular to Killing fields
Ken YOKUMOTO
Hokkaido Math. J. 34(3): 679-688 (October 2005). DOI: 10.14492/hokmj/1285766292

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.

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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

Information

Published: October 2005
First available in Project Euclid: 29 September 2010

zbMATH: 1091.57019
MathSciNet: MR2186828
Digital Object Identifier: 10.14492/hokmj/1285766292

Subjects:
Primary: 53C50
Secondary: 57R30

Keywords: Killing fields , Lorentzian manifolds , totally geodesic foliations

Rights: Copyright © 2005 Hokkaido University, Department of Mathematics

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Vol.34 • No. 3 • October 2005
Hokkaido University, Department of Mathematics
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