Generalized Tanaka-Webster connection on $\beta$-Kenmotsu manifolds

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Keywords:

$\beta$-Kenmotsu manifold, generalized Tanaka-Webster connection, curvature tensor, $\eta$-Einstein manifold

Abstract

This research paper aims to study the postulates of the generalized Tanaka-Webster connection (briefly, gTWc) on $\beta$-Kenmotsu manifolds. We find the curvature properties of a $\beta$-Kenmotsu manifold concerning gTWc, and studied the conditions for the $\phi$-projectively flat, $\phi$-conformally flat and $\phi$-concirculary flat $\beta$-Kenmotsu manifolds along with the same connection. Also, we have discussed the $\xi$-flat properties on same curvatures for the $\beta$-Kenmotsu manifold admitting gTWc. At the end we provide an example to verify some of our results.

Vol. 7 No. 2 (2024): International Journal of Maps in Mathematics

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Published

2024-09-01

How to Cite

Sundriyal , S. ., & Haseeb, A. (2024). Generalized Tanaka-Webster connection on $\beta$-Kenmotsu manifolds. International Journal of Maps in Mathematics, 7(2), 258–272. Retrieved from https://simadp.com/journalmim/article/view/7-2-9

Issue

Vol. 7 No. 2 (2024): International Journal of Maps in Mathematics

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Articles

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