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arXiv · 1207.5092

Curvature of multiply warped products with an affine connection

Yong Wang
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Abstract

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.ß We also consider the multiply warped products with an affine connection with a zero torsion.

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Yong Wang. 2012-07-21. Curvature of multiply warped products with an affine connection. https://arxiv.org/abs/1207.5092

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