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A sphere theorem on locally conformally flat even-dimensional manifolds |
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| Authors: | Giovanni Catino Zindine Djadli Cheikh Birahim Ndiaye |
| Affiliation: | 1. Dipartimento di Matematica, Universit?? di Pisa, Largo Bruno Pontecorvo, 5, 56127, Pisa, Italy 2. Institut Fourier, UMR 5582, 100 rue des Maths, 38402, Saint Martin d??H??res Cedex, France 3. SISSA, Via Beirut, 2-4, 34014, Trieste, Italy |
| Abstract: | In this paper, we prove that a closed even-dimensional manifold which is locally conformally flat with positive scalar curvature, positive Euler characteristic and which satisfies some additional condition on its curvature is diffeomorphic to the sphere or projective space. |
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