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Article Citation - WoS: 6Citation - Scopus: 4Some results related to the Laplacian on vector fields(Kossuth Lajos Tudomanyegyetem, 2006) Erkekoglu, Fazilet; Kupeli, Demir N.; Uebnal, BuelentA characterization of Euclidean spheres out of connected, compact, Einstein Riemannian manifolds of constant scalar curvature is made by a characterization of a vector field with an eigenvalue equation for the Laplacian on vector fields.Article Citation - WoS: 31Citation - Scopus: 30Characterizing Specific Riemannian Manifolds by Differential Equations(Springer, 2003) Erkekoglu, F; García-Río, E; Kupeli, DN; Ünal, BSome characterizations of certain rank-one symmetric Riemannian manifolds by the existence of nontrivial solutions to certain partial differential equations on Riemannian manifolds are surveyed.

