Published Paper
Inserted: 31 jul 2024
Last Updated: 27 jun 2025
Journal: Contemporary Mathematics series (AMS), Book: Recent Advances in Differential Geometry and Related Areas
Volume: 821
Pages: 173-179
Year: 2025
Doi: https://doi.org/10.1090/conm/821/16444
This is the preprint of the manuscript published in the "Contemporary Mathematics series" of the American Mathematical Society (AMS) - Book: "Recent Advances in Differential Geometry and Related Areas", vol. 821, pp. 173-179, 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.