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A sphere theorem for odd-dimensional submanifolds of spheres |
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| Authors: | Theodoros Vlachos |
| Institution: | Department of Mathematics, University of Ioannina, Ioannina 45110, Greece |
| Abstract: | We establish a topological sphere theorem from the point of view of submanifold geometry for odd-dimensional submanifolds |
| Keywords: | Ricci curvature mean curvature vector homology groups |
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of a unit sphere. We give examples which show that our result is optimal. Moreover, we note the assumption that the dimension 
is odd is essential.