Compact Einstein warped product spaces with nonpositive scalar curvature

Kim, Dong-Soo; Kim, Young

doi:10.1090/S0002-9939-03-06878-3

Compact Einstein warped product spaces with nonpositive scalar curvature
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by Dong-Soo Kim and Young Ho Kim PDF

Proc. Amer. Math. Soc. 131 (2003), 2573-2576 Request permission

Abstract:

We study Einstein warped product spaces. As a result, we prove the following: if $M$ is an Einstein warped product space with nonpositive scalar curvature and compact base, then $M$ is simply a Riemannian product space.

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