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A curvature condition for a twisted product¶to be a warped product

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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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Authors and Affiliations

  1. Department of Geometry and Topology, Faculty of Mathematics, Univ. Santiago, 15706 Santiago de Compostela, Spain. e-mail: xtedugr@usc.es, , , , , , ES

    M. Fernández-López & E. García-Río

  2. Department of Mathematics, Atılım University, İncek, 06836 Ankara, Turkey, , , , , , TR

    D. N. Kupeli & B. Ünal

Authors
  1. M. Fernández-López
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  2. E. García-Río
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  3. D. N. Kupeli
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  4. B. Ünal
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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

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