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arXiv · 2205.09380

Affine connections on singular multiply warped products and singular twisted products

Siyao Liu·Tong Wu·Yong Wang
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Abstract

In this paper, we generalize the results in [Y. Wang: Affine connections on singular warped products. Int. J. Geom. Methods Mod. Phys. 18(5), 2150076, (2021).] to singular multiply warped products and singular twisted products. We study singular multiply warped products and singular twisted products and their curvature with the semi-symmetric metric connection and the semi-symmetric non-metric connection. We also discuss Koszul forms associated with the almost product structure and their curvature of singular multiply warped products and singular twisted products. Finally, several examples are presented to demonstrate the theoretical results.

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Siyao Liu, Tong Wu, Yong Wang. 2022-05-19. Affine connections on singular multiply warped products and singular twisted products. https://arxiv.org/abs/2205.09380

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