Examples of Lorentzian geodesible foliations of closed three-manifolds having Heegaard splittings of genus one
Yokumoto, Ken
Tohoku Math. J. (2), Tome 56 (2004) no. 1, p. 423-443 / Harvested from Project Euclid
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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.
Publié le : 2004-09-14
Classification:  Lorentzian manifolds,  totally geodesic foliations,  53C50,  53C12,  57R30 
@article{1113246677,
     author = {Yokumoto, Ken},
     title = {Examples of Lorentzian geodesible foliations of closed three-manifolds having Heegaard splittings of genus one},
     journal = {Tohoku Math. J. (2)},
     volume = {56},
     number = {1},
     year = {2004},
     pages = { 423-443},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1113246677}
}

Yokumoto, Ken. Examples of Lorentzian geodesible foliations of closed three-manifolds having Heegaard splittings of genus one. Tohoku Math. J. (2), Tome 56 (2004) no. 1, pp.  423-443. http://gdmltest.u-ga.fr/item/1113246677/