Metric Foliations and Curvature by Detlef Gromoll, Gerard Walschap

Metric Foliations and Curvature



Download Metric Foliations and Curvature




Metric Foliations and Curvature Detlef Gromoll, Gerard Walschap
Language: English
Page: 180
Format: pdf
ISBN: 3764387149, 9783764387143
Publisher: Birkhauser

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 representative handful by means of metric fibrations or deformations thereof.

This text is an attempt to document some of these constructions, many of which have only appeared in journal form. The emphasis here is less on the fibration itself and more on how to use it to either construct or understand a metric with curvature of fixed sign on a given space.

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