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2004 Examples of Lorentzian geodesible foliations of closed three-manifolds having Heegaard splittings of genus one
Ken Yokumoto
Tohoku Math. J. (2) 56(3): 423-443 (2004). DOI: 10.2748/tmj/1113246677

Abstract

We construct codimension-one, Lorentzian geodesible foliations of closed three-manifolds having Heegaard splittings of genus one. We prove that all the inner leaves of a Reeb component of a codimension-one, totally geodesic foliation of a Lorentzian three-manifold are spacelike, and the boundary leaf of a Reeb component is lightlike.

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Ken Yokumoto. "Examples of Lorentzian geodesible foliations of closed three-manifolds having Heegaard splittings of genus one." Tohoku Math. J. (2) 56 (3) 423 - 443, 2004. https://doi.org/10.2748/tmj/1113246677

Information

Published: 2004
First available in Project Euclid: 11 April 2005

zbMATH: 1065.57029
MathSciNet: MR2075776
Digital Object Identifier: 10.2748/tmj/1113246677

Subjects:
Primary: 53C50
Secondary: 53C12, 57R30

Rights: Copyright © 2004 Tohoku University

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