Accepted Paper
Inserted: 31 jul 2024
Last Updated: 31 jul 2024
Journal: Preprint of manuscript accepted for "Contemporary Mathematics series" of the American Mathematical Society (AMS)
Year: 2025
This is the preprint of manuscript accepted for publication in the "Contemporary Mathematics series" of the American Mathematical Society (AMS)- Book entitled: "Recent Advances in Differential Geometry and Related Areas" to appear in 2025.
Abstract:
We study a particular type of Einstein warped-product manifold where the warping function must satisfy the homogeneous version of the screened Poisson equation. Under these assumptions, we show that the dimension of the manifold, the (constant negative) Ricci curvature and the screened parameter are related through a quadratic equation.