Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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REMARKS ON THE TOPOLOGY OF LORENTZIAN MANIFOLDS

  • Choi, Young-Suk (Department of Mathematics, Kyungpook National University) ;
  • Suh, Young-Jin (Department of Mathematics, Kyungpook National University)
  • Published : 2000.10.01
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Abstract

The purpose of this paper is to give a necessary and sufficient condition for a smooth manifold to admit a Lorentzian metric. As an application of this result, on Lorentzian manifolds we have shown that the existence of a 1-dimensional distribution is equivalent to the existence of a non-vanishing vector field.

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References

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