Advertisement

Open Manifolds of Nonnegative Curvature

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

Abstract

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.

Keywords

Riemannian Manifold Vector Bundle Normal Bundle Total Space Riemannian Submersion 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Birkhäuser Verlag AG 2009

Personalised recommendations