Scalar curvature and warped products of Riemann manifolds

Dobarro, F.; Lami Dozo, E.

doi:10.1090/S0002-9947-1987-0896013-4

Scalar curvature and warped products of Riemann manifolds
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by F. Dobarro and E. Lami Dozo

Trans. Amer. Math. Soc. 303 (1987), 161-168

DOI: https://doi.org/10.1090/S0002-9947-1987-0896013-4

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Abstract:

We establish the relationship between the scalar curvature of a warped product $M \times {}_fN$ of Riemann manifolds and those ones of $M$ and $N$. Then we search for weights $f$ to obtain constant scalar curvature on $M \times {}_fN$ when $M$ is compact.

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