Metric Foliations and Curvature

• Main Authors: Gromoll, Detlef (Author), Walschap, Gerard (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Basel : Birkhäuser Basel, 2009.
• Series: Progress in Mathematics ; 268
• Subjects: Mathematics.; Differential geometry.; Differential Geometry.

In the past three or four decades, there has been increasing realization that metric foliations play a key role in understanding the structure of Riemannian manifolds, particularly those with positive or nonnegative sectional curvature. In fact, all known such spaces are constructed from only a repr...

Table of Contents:

• Submersions, Foliations, and Metrics
• Basic Constructions and Examples
• Open Manifolds of Nonnegative Curvature
• Metric Foliations in Space Forms.