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- W2746038972 abstract "In this paper we consider a class of Einstein warped product semi-Riemannian manifolds $widehat{M} = M^{n}times_{f}N^{m}$ with $ngeq 3$ and $mgeq 2$. For $widehat{M}$ with compact base and Ricci-flat fiber, we prove that $widehat{M}$ is simply a Riemannian product space. Then, when the base $M$ is conformal to a pseudo-Euclidean space which is invariant under the action of a $(n-1)$-dimensional translation group, we classify all such spaces. Furthermore, we get new examples of complete Einstein warped products Riemannian manifolds." @default.
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- W2746038972 date "2017-08-15" @default.
- W2746038972 modified "2023-09-27" @default.
- W2746038972 title "On the structure of Einstein warped product semi-Riemannian manifolds" @default.
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