Metric foliations and curvature
Author(s)
Bibliographic Information
Metric foliations and curvature
(Progress in mathematics, v. 268)
Birkhäuser, c2009
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
GRO||45||1200009118095
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.
by "Nielsen BookData"