Published Paper
Inserted: 15 apr 2022
Last Updated: 23 sep 2023
Journal: Journal of Geometric Mechanics (AIMS)
Volume: 15
Number: 1
Pages: 116-127
Year: 2023
Abstract:
We derive the general formulas for a special configuration of the sequential warped product semi-Riemannian manifold to be Einstein, where the base-manifold is the product of two manifolds both equipped with a conformal metrics. Subsequently we study the case in which these two manifolds are conformal to a $n_1$-dimensional and $n_2$-dimensional pseudo-Euclidean space, respectively. For the latter case, we prove the existence of a family of solutions that are invariant under the action of a $(n_1 − 1)$-dimensional group of transformations to the case of positive constant Ricci curvature (λ > 0).
Keywords: Einstein sequential warped-prod. special type, positive const. Ricci curvature
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