Advertisement

Submersions, Foliations, and Metrics

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

Abstract

The concept of submersion is dual to what is arguably the oldest notion in differential geometry, that of immersion. Both are generalizations of diffeomorphisms. In the presence of a Riemannian metric, it is natural to consider distance-preserving maps rather than diffeomorphisms. These in turn generalize to isometric immersions, and their metric dual, Riemannian submersions.

Keywords

Riemannian Manifold Sectional Curvature Holonomy Group Riemannian Submersion Riemannian Foliation 
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