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http://dx.doi.org/10.5831/HMJ.2015.37.1.127

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)
Publication Information
Honam Mathematical Journal / v.37, no.1, 2015 , pp. 127-134 More about this Journal
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.
Keywords
warping function; Lorentzian warped product manifold; scalar curvature;
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