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Citation - WoS: 77
Citation - Scopus: 85
Curvature of multiply warped products
(Elsevier, 2005) Dobarro, F; Ünal, B
In this paper, we study Ricci-flat and Einstein-Lorentzian multiply warped products. We also consider the case of having constant scalar curvatures for this class of warped products. Finally, after we introduce a new class of space-times called as generalized Kasner space-times, we apply our results to this kind of space-times as well as other relativistic space-times, i.e., Reissner-Nordstrom, Kasner space-times, Banados-Teitelboim-Zanelli and de Sitter black hole solutions. (c) 2004 Elsevier B.V. All rights reserved.
Citation - WoS: 47
Citation - Scopus: 47
On a differential equation characterizing Euclidean spheres
(Academic Press inc Elsevier Science, 2003) García-Río, E; Kupeli, DN; Ünal, B
A characterization of Euclidean spheres out of complete Riemannian manifolds is made by certain vector fields on complete Riemannian manifolds satisfying a partial differential equation on vector fields. (C) 2003 Elsevier Inc. All rights reserved.