Affine connections on singular multiply warped products and singular twisted products
Differential Geometry
2022-05-20 v1
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.
Keywords
Cite
@article{arxiv.2205.09380,
title = {Affine connections on singular multiply warped products and singular twisted products},
author = {Siyao Liu and Tong Wu and Yong Wang},
journal= {arXiv preprint arXiv:2205.09380},
year = {2022}
}
Comments
53 pages