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Euler characters and submanifolds of constant positive curvature |
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| Authors: | John Douglas Moore |
| Affiliation: | Department of Mathematics, University of California, Santa Barbara, CA 93106 |
| Abstract: | This article develops methods for studying the topology of submanifolds of constant positive curvature in Euclidean space. It proves that if  is an  -dimensional compact connected Riemannian submanifold of constant positive curvature in  , then  must be simply connected. It also gives a conformal version of this theorem. |
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