Metric foliations and curvature
著者
書誌事項
Metric foliations and curvature
(Progress in mathematics, v. 268)
Birkhäuser, c2009
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注記
Includes bibliographical references (p. [165]-172) and index
内容説明・目次
内容説明
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.
目次
Submersions, Foliations, and Metrics.- Basic Constructions and Examples.- Open Manifolds of Nonnegative Curvature.- Metric Foliations in Space Forms.
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