期刊
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
卷 131, 期 8, 页码 2573-2576出版社
AMER MATHEMATICAL SOC
DOI: 10.1090/S0002-9939-03-06878-3
关键词
Einstein space; warped product; Ricci tensor; Hessian tensor; Ricci identity
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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