On the metric structure of open manifolds with nonnegative curvature
نویسندگان
چکیده
منابع مشابه
On the Metric Structure of Open Manifolds with Nonnegative Curvature
An open manifold M with nonnegative sectional curvature contains a compact totally geodesic submanifold S called the soul. In his solution of the Cheeger-Gromoll conjecture, G. Perelman showed that the metric projection π : M → S was a C Riemannian submersion which coincided with a map previously constructed by V. Sharafutdinov. In this paper we improve Perelman’s result to show that π is in fa...
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ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 2000
ISSN: 0030-8730
DOI: 10.2140/pjm.2000.196.429