Einstein Warped Products with Einstein Base and Fiber

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Márcio Lemes de Sousa, Tiberio Bittencourt de Oliveira Martins, Carlos Vinícius Alves da Silva
DOI: 10.48550/arxiv.2601.21137
Cited by: 0

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.

Fields of Study & Subjects

Advanced Differential Geometry Research Geometric Analysis and Curvature Flows Geometry and complex manifolds

Publication details

Journal / source
arXiv (Cornell University)
Publication date
29 January 2026
Document type
Preprint