Metric Foliations and Curvature

• Main Authors: Gromoll, Detlef. (Author), Walschap, Gerard. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: Basel : Birkhũser Basel, 2009.
• Series: Progress in Mathematics ; 268
• Subjects: Mathematics.; Global differential geometry.; Differential Geometry.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-3-7643-8715-0

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:

• Preface
• 1. Submersions, Foliations and Metrics
• 2
• Basic Constructions and Examples
• 3. Open Manifolds of Nonnegative Curvature
• 4. Metric Foliations in Space Forms
• Bibliography
• Index.