Einstein warped-product manifolds and the screened Poisson equation
Differential Geometry
2025-06-26 v1 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.2407.20381,
title = {Einstein warped-product manifolds and the screened Poisson equation},
author = {Alexander Pigazzini and Luca Lussardi and Magdalena Toda and Andrew DeBenedictis},
journal= {arXiv preprint arXiv:2407.20381},
year = {2025}
}
Comments
7 pages. Preprint of manuscript accepted for publication in the Contemporary Mathematics series of the American Mathematical Society - Book entitled: "Recent Advances in Differential Geometry and Related Areas" to appear in 2025