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Compact submanifolds in space forms |
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| Authors: | Sharief Deshmukh J. Miguel Malacarne |
| Affiliation: | 1. Department of Mathematics, College of Science, King Saud University, P.O. Box #2455, Riyadh, 11451, Saudi Arabia 2. Departamento de Matemática, Universidade Federal do Espírito Santo, Vitória, ES, 29075-910, Brazil |
| Abstract: | We use closed conformal vector fields in a constant sectional curvature Riemannian manifold ${mathbb{M}}$ to study the geometry of its immersed submanifolds. In this situation we obtain a characterization of sphere among compact submanifolds with positive Ricci curvature immersed in ${mathbb{M}}$ . |
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