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(2002 / vol.5 / no.2)
Compact Einstein warped product spaces
Dong-Soo Kim
Pages. 1-5     



We study Einstein warped product spaces. As a result,
we prove the following: there does not exist a compact Einstein
warped product space with nonconstant warping function, if the
scalar curvature is nonpositive or the base is of 2-dimensional.



0. Introduction
1. Einstein warped product spaces with nonpositive scalar curvature
2. Einstein warped product spaces with 2-dimensional base



Einstein space, warped product, Ricci tensor, Hessian tensor, Ricci identity



53B20, 53C20