Skip to main content
Log in

Collapsing Riemannian manifolds to the circle

  • Published:
Mathematische Zeitschrift Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. Buser, P., Karcher, H.: Gromov's alsmost flat manifolds. Astérisque81, Soc. Math. France, 1981

  2. Cheeger, J., Gromov, M.: Collapsing Riemannian manifolds while keeping their curvature bounded I. J. Differ. Geom.23, 309–346 (1986)

    Google Scholar 

  3. Fukaya, K.: Collapsing Riemannian manifolds to one of lower dimension. J. Differ. Geom.25, 139–156 (1987)

    Google Scholar 

  4. Gromov, M.: Almost flat manifolds. J. Differ. Geom.13, 231–241 (1978)

    Google Scholar 

  5. Gromov, M., Lafontaine, J., Pansu, P.: Structure métrique pour les varietés riemanniennes. Paris: Cedic/Fernand Nathan 1981

    Google Scholar 

  6. Pansu, P.: Effondrement des variètés riemanniennes, d'aprés J. Cheeger et M. Gromov, Séminare Bourbaki 363 (1983/1984), No. 618

  7. Wall, C.T.C.: Surgery on compact manifolds. London, New York: Academic Press 1970

    Google Scholar 

  8. Wang, H.: Discrete subgroups of solvable Lie groups I. Ann. Math.64, 1–19 (1956)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Xiao-Wei, P. Collapsing Riemannian manifolds to the circle. Math Z 202, 289–298 (1989). https://doi.org/10.1007/BF01215261

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01215261

Keywords

Navigation