Honam Mathematical Journal (호남수학학술지)

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THE COMPLETENESS OF SOME METRICS ON LORENTZIAN WARPED PRODUCT MANIFOLDS WITH FIBER MANIFOLD OF CLASS (B)

  • Jung, Yoon-Tae (Department of Mathematics, Chosun University) ;
  • Lee, Jeong-Mi (Department of Mathematics Education, Graduate School of Education, Chosun University) ;
  • Lee, Ga-Young (Department of Mathematics, Graduate School, Chosun University)
  • Received : 2015.02.24
  • Accepted : 2015.03.01
  • Published : 2015.03.25
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Abstract

In this paper, we prove the existence of warping functions on Lorentzian warped product manifolds and the completeness of the resulting metrics with some prescribed scalar curvatures.

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References

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