Csi-$\xi ^{\perp }$- Riemannian submersions from Lorentzian para-Kenmotsu manifolds

2023-09-29T12:16:11+00:00

The purpose of this article is to examine the characteristics of Clairaut semi-invariant-$\xi ^{\perp }$(CSI-$\xi ^{\perp }$,in brief) Riemannian submersions from Lorentzian para-Kenmotsu manifolds onto Riemannian
manifolds and also enrich this geometrical analysis with specific condition for a semi-invariant $\xi ^{\perp }$-Riemannian submersion to be CSI-$\xi^{\perp }$-Riemannian submersion. Furthermore, we discuss some results about these submersions and present a consequent non-trivial example based on this study.

On QTAG-modules containing proper h-purity

2023-09-29T12:16:11+00:00

There are numerous problems of determining the QTAG-modules in which every h-pure submodule is isotype or the QTAG-modules in which every submodule is isotype. Our global aim here is to find in this direction a new problem by generalizing the h-purity in QTAG-modules, and thereby to establish some characterizations of the QTAG-modules in which every σ-pure submodule is λ-pure submodule for arbitrary ordinals σ and λ.

International Journal of Maps in Mathematics

Csi-$\xi ^{\perp }$- Riemannian submersions from Lorentzian para-Kenmotsu manifolds

On QTAG-modules containing proper h-purity