• Bulletin of the Korean Mathematical Society
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• v.41 no.4
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• pp.691-697
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• 2004

In this paper we find index form of the multiply warped product manifolds to investigate the physical properties from space-time.

• Korean Journal of Mathematics
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• v.27 no.4
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• pp.1133-1147
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• 2019

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.

• Proceedings of the Korea Contents Association Conference
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• 2003.11a
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• pp.352-366
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• 2003

Exploiting a multiply warped products manifold scheme, we study the interior solutions of the (2.1) Banados-Teitelboim-Zanelli black holes and the exterior solutions of the (2+1) do Sitter black holes.