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Metric Foliations and Curvature

Metric Foliations and Curvature
Catalogue Information
Nome campo dettagli
Dewey Class 516.373
Titolo Metric Foliations and Curvature ([EBook]) / by Detlef Gromoll, Gerard Walschap.
Autore Gromoll, Detlef
Added Personal Name Walschap, Gerard. , 1954-
Other name(s) SpringerLink (Online service)
Pubblicazione Basel : Birkhäuser , 2009.
Physical Details : online resource.
Serie 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
Link alle Opere Legate
  • Riferimenti soggetto: .
  • Curavature .
  • Differential Geometry .
  • Foliations (Mathematics) .
  • Global differential geometry .
  • Riemannian manifolds .

  • Authors:
    Corporate Authors:
    Series:
    Classification:
    Catalogue Information 27631 Beginning of record . Catalogue Information 27631 Top of page .

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