Bibliographic Information

Metric foliations and curvature

Detlef Gromoll, Gerard Walschap

(Progress in mathematics, v. 268)

Birkhäuser, c2009

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Note

Includes bibliographical references (p. [165]-172) and index

Description and Table of Contents

Description

Riemannian manifolds, particularly those with positive or nonnegative curvature, are constructed from only a handful by means of metric fibrations or deformations thereof. This text documents some of these constructions, many of which have only appeared in journal form. The emphasis 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.

Table of Contents

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

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