Einstein Warped Products with Einstein Base and Fiber
Differential Geometry
2026-01-30 v1
Abstract
We study Einstein riemannian manifolds endowed with a warped product structure. We focus on the case in which both the base and the fiber are Einstein manifolds and establish necessary and sufficient conditions for the warped product itself to be an Einstein manifold. Moreover, we explicitly determine the warping function when the base is the hyperbolic space.
Keywords
Cite
@article{arxiv.2601.21137,
title = {Einstein Warped Products with Einstein Base and Fiber},
author = {Márcio Lemes de Sousa and Tibério Bittencourt de Oliveira Martins and Carlos Rodrigues da Silva},
journal= {arXiv preprint arXiv:2601.21137},
year = {2026}
}
Comments
13 pages