• Bulletin of the Korean Mathematical Society
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• v.50 no.5
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• pp.1567-1586
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• 2013

In this paper, we study the Einstein multiply warped products with a semi-symmetric non-metric connection and the multiply warped products with a semi-symmetric non-metric connection with constant scalar curvature, we apply our results to generalized Robertson-Walker spacetimes with a semi-symmetric non-metric connection and generalized Kasner spacetimes with a semi-symmetric non-metric connection and find some new examples of Einstein affine manifolds and affine manifolds with constant scalar curvature. We also consider the multiply warped products with an affine connection with a zero torsion.

• 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.

• 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.

• Proceedings of the Korea Contents Association Conference
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• 2003.05a
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• pp.470-473
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• 2003

We have the index form of the multiply warped products manifold. From this result we will investigate the physical properties on the Robertson-Walker spacetime. The singularly thorem are usually interpreted as an indication that black hole exist and that there has been a big bang. This paper include necessary condition for the Robertson-Walker spacetime with singularly.