A sphere theorem on locally conformally flat even-dimensional manifolds

作者：Catino Giovanni^*; Djadli Zindine; Ndiaye Cheikh Birahim

来源：Manuscripta Mathematica, 2011, 136(1-2): 237-247.

DOI：10.1007/s00229-011-0443-z

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.

• 出版日期2011-9