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Compact Einstein warped product spaces with nonpositive scalar curvature |
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| Authors: | Dong-Soo Kim Young Ho Kim |
| Institution: | Department of Mathematics, College of Natural Sciences, Chonnam National University, Kwangju, 500-757, Korea ; Department of Mathematics, College of Natural Sciences, Kyungpook National University, Taegu, 702-701, Korea |
| Abstract: | We study Einstein warped product spaces. As a result, we prove the following: if  is an Einstein warped product space with nonpositive scalar curvature and compact base, then  is simply a Riemannian product space. |
| Keywords: | Einstein space warped product Ricci tensor Hessian tensor Ricci identity |
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