Abstract:
It is shown that a mixed Ricci-flat twisted product semi-Riemannian manifold can be expressed as a warped product semi-Riemannian manifold. As a consequence, any Einstein twisted product semi-Riemannian manifold is in fact, a warped product semi-Riemannian manifold.
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Received: 8 March 2001 / Revised version: 25 July 2001
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Fernández-López, M., García-Río, E., Kupeli, D. et al. A curvature condition for a twisted product¶to be a warped product. manuscripta math. 106, 213–217 (2001). https://doi.org/10.1007/s002290100204
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DOI: https://doi.org/10.1007/s002290100204