Archivio Istituzionale della RicercaWe 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.
Einstein warped-product manifolds and the screened Poisson equation / Pigazzini, Alexander; Lussardi, Luca; Toda, Magdalena; Debenedictis, Andrew (CONTEMPORARY MATHEMATICS). - In: Recent Advances in Differential Geometry and Related Areas[s.l] : American Mathematical Society - AMS, 2025. - ISBN 9781470480202. - pp. 173-179 [10.1090/conm/821]
Einstein warped-product manifolds and the screened Poisson equation
Lussardi, Luca;
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.
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Screened_Poisson_Eqn_v4b.pdf
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https://hdl.handle.net/11583/3001472