• 대한수학회보
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• 제41권4호
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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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• 제27권4호
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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.

• 한국콘텐츠학회:학술대회논문집
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• 한국콘텐츠학회 2003년도 추계종합학술대회 논문집
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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.