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Article Citation - WoS: 1Citation - Scopus: 1The Local Mobius Equation and Decomposition Theorems in Riemannian Geometry(Canadian Mathematical Soc, 2002) Fernández-López, M; García-Río, E; Kupeli, DNA partial differential equation, the local Mobius equation, is introduced in Riemannian geometry which completely characterizes the local twisted product structure of a Riemannian manifold. Also the characterizations of warped product and product structures of Riemannian manifolds are made by the local Mobius equation and an additional partial differential equation.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.

