Open Manifolds of Nonnegative Curvature

Part of the Progress in Mathematics book series (PM, volume 268)


Noncompact manifolds with a complete metric of nonnegative sectional curvature were studied in detail by Gromoll-Meyer [58], and by Cheeger-Gromoll [36], 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.


Riemannian Manifold Vector Bundle Normal Bundle Total Space Riemannian Submersion 
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© Birkhäuser Verlag AG 2009

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