Rigidity in Non-negative Curvature
نویسنده
چکیده
In this paper we will show that any complete manifold of nonnegative curvature has a flat soul provided it has curvature going to zero at infinity. We also show some similar results about manifolds with bounded curvature at infinity. To establish these theorems we will prove some rigidity results for Riemannian submersions, eg., any Riemannian submersion with complete flat total space and compact base in fact must have a flat base space.
منابع مشابه
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