@article{Elsharkawy2025, 
author = {Ayman Elsharkawy and Hoda Elsayied and Abdelrhman Tawfiq and Fatimah Alghamdi},
title = {Geometric analysis of the pseudo-projective curvature tensor in doubly and twisted warped product manifolds},
year = {2025},
journal = {AIMS Mathematics},
volume = {10},
number = {1},
pages = {56-71},
keywords = {doubly and twisted warped product, pseudo-projective curvature tensor, generalized doubly and twisted Robertson-Walker space-times},
url = {https://www.sciopen.com/article/10.3934/math.2025004},
doi = {10.3934/math.2025004},
abstract = {This study investigates the pseudo-projective curvature tensor within the framework of doubly and twisted warped product manifolds. It offers significant insights into the interaction between the pseudo-projective curvature tensor and both the base and fiber manifolds. The research highlights key geometric characteristics of the base and fiber manifolds as influenced by the pseudo-projective curvature tensor in these structures. Additionally, the paper extends its analysis to examine the behavior of the pseudo-projective curvature tensor in the context of generalized doubly and twisted generalized Robertson-Walker space-times.}
}