Metric Foliations and Curvature (Progress in Mathematics, #268)

by Detlef Gromoll and Gerard Walschap

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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.

  • ISBN10 3764387157
  • ISBN13 9783764387150
  • Publish Date December 2009 (first published 1 January 2009)
  • Publish Status Active
  • Publish Country CH
  • Imprint Birkhauser Verlag AG
  • Edition New ed.
  • Format eBook
  • Pages 185
  • Language English