Open Manifolds of Nonnegative Curvature
Noncompact manifolds with a complete metric of nonnegative sectional curvature were studied in detail by Gromoll-Meyer , and by Cheeger-Gromoll , who gave a thorough account of their topology. Apart from some special cases, however, their metric structure has only been understood fairly recently. It illustrates the key role that Riemannian submersions seem to play in nonnegative curvature.
KeywordsRiemannian Manifold Vector Bundle Normal Bundle Total Space Riemannian Submersion
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