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

manuscripta mathematica - Tập 106 - Trang 213-217 - 2001
M. Fernández-López1, E. García-Río1, D. N. Kupeli2, B. Ünal2
1Department of Geometry and Topology, Faculty of Mathematics, Univ. Santiago, 15706 Santiago de Compostela, Spain. e-mail: [email protected], , ES
2Department of Mathematics, Atılım University, İncek, 06836 Ankara, Turkey, , TR

Tóm tắt

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.