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On a differential equation characterizing Euclidean spheres |
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| Authors: | Eduardo Garc?& #x a-R?& #x o,Demir N. Kupeli |
| Affiliation: | a Department of Geometry and Topology, Faculty of Mathematics, University of Santiago de Compostela, 15782 Santiago de Compostela, Spain b Bosna-Hersek Caddesi, No:35/B-10, Emek Mahallesi, 06510 Ankara, Turkey c Department of Mathematics, Atilim University, Incek, 06836 Ankara, Turkey |
| Abstract: | 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. |
| Keywords: | 53C99 58J99 |
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