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http://dx.doi.org/10.11568/kjm.2019.27.4.1133

SOME METRIC ON EINSTEIN LORENTZIAN WARPED PRODUCT MANIFOLDS  

Lee, Soo-Young (Department of Mathematics Chosun University)
Publication Information
Korean Journal of Mathematics / v.27, no.4, 2019 , pp. 1133-1147 More about this Journal
Abstract
In this paper, let M = B×f2 F be an Einstein Lorentzian warped product manifold with 2-dimensional base. We study the geodesic completeness of some metric with constant curvature. First of all, we discuss the existence of nonconstant warping functions on M. As the results, we have some metric g admits nonconstant warping functions f. Finally, we consider the geodesic completeness on M.
Keywords
Einstein manifold; Lorentzian warped product manifold; geodesics; warping function; multiply warped product;
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Times Cited By KSCI : 6  (Citation Analysis)
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