We study multiply warped products with compact Einstein manifolds. We obtain that there does not exist connected, compact Einstein multiply warped products if the scalar curvature is non-positive. ...

中文翻译：

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用紧凑型爱因斯坦流形乘积翘曲产品

我们研究具有紧凑爱因斯坦流形的多重翘曲产品。我们得到，如果标量曲率是非正的，则不存在连通的、紧致的爱因斯坦乘积翘曲积。...