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Catalogue Information
Field name	Details
Dewey Class	516.373
Title	Metric Foliations and Curvature ([EBook]) / by Detlef Gromoll, Gerard Walschap.
Author	Gromoll, Detlef
Added Personal Name	Walschap, Gerard. , 1954-
Other name(s)	SpringerLink (Online service)
Publication	Basel : Birkhäuser , 2009.
Physical Details	: online resource.
Series	Progress in mathematics ; 268
ISBN	9783764387150
Summary Note	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.:
Contents note	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.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-3-7643-8715-0
Links to Related Works	Subject References: Curavature . Differential Geometry . Foliations (Mathematics) . Global differential geometry . Riemannian manifolds . Authors: author . Gromoll, Detlef . Walschap, Gerard. 1954- . Corporate Authors: SpringerLink (Online service) . Series: Progress in mathematics . Classification: 516.373 . 516.373 (DDC 23) .

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Metric Foliations and Curvature

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