Topological obstructions for submanifolds in low codimension |
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Authors: | Christos-Raent Onti Theodoros Vlachos |
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Affiliation: | 1.Department of Mathematics,University of Ioannina,Ioannina,Greece |
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Abstract: | We prove integral curvature bounds in terms of the Betti numbers for compact submanifolds of the Euclidean space with low codimension. As an application, we obtain topological obstructions for (delta )-pinched immersions. Furthermore, we obtain intrinsic obstructions for minimal submanifolds in spheres with pinched second fundamental form. |
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