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Multiply warped products with compact Einstein manifolds

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Abstract 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. It… Click to show full abstract

Abstract 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. It is also found that there does not exist non-trivial connected Einstein multiply warped product manifolds with compact base or compact fibres.

Keywords: einstein manifolds; multiply warped; products compact; compact einstein; warped products

Journal Title: Quaestiones Mathematicae
Year Published: 2020

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