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Conference Object Citation - WoS: 1The Generalized Divergence Theorem and Its Application To Harmonic Maps(Pergamon-elsevier Science Ltd, 2001) García-Río, E; Kupeli, DNA survey of divergence theorems in semi-Riemannian geometry is made. The generalization of a divergence theorem to vector fields along a map is given in semi-Riemannian geometry and an application of it is made in Riemannian geometry to obtain some sufficient conditions for a map to be harmonic.Article Citation - WoS: 2Citation - Scopus: 1A Local Analytic Characterization of Schwarzschild Metrics(Elsevier Science Bv, 2003) Fernández-López, M; García-Río, E; Kupeli, DNA local characterization of Schwarzschild metrics is made by showing the space-time is locally a 2 by 2 warped product and admitting a static reference frame on its certain open subsets under some assumptions on the global analytic structure and stress-energy tensor of the space-time, such as, assuming the existence of solutions to certain partial differential equations and the existence of a radiation stress-energy tensor consistent with these solutions on the space-time. (C) 2002 Elsevier Science B.V. All rights reserved.Article Citation - WoS: 47Citation - Scopus: 47On a differential equation characterizing Euclidean spheres(Academic Press inc Elsevier Science, 2003) García-Río, E; Kupeli, DN; Ünal, BA 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.
