Metric Foliations and Curvature

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  • Metric Foliations and Curvature Book Detail

  • Author : Detlef Gromoll
  • Release Date : 2009-03-28
  • Publisher : Springer Science & Business Media
  • Genre : Mathematics
  • Pages : 185
  • ISBN 13 : 3764387157
  • File Size : 18,18 MB

Metric Foliations and Curvature by Detlef Gromoll PDF Summary

Book 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.

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