Skip to main content
SpringerLink
Log in

Riemannian manifolds with flat ends

  • 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

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

References

  1. Ballmann, W., Gromov, M., Schroeder, V.: Manifolds of nonpositive curvature. Basel: Birkhäuser 1985

    Google Scholar 

  2. Bishop, R., O'Neill, B.: Manifolds of negative curvature. Trans. A.M.S.145, 1–49 (1969)

    Google Scholar 

  3. Cheeger, J., Gromoll, D.: On the structure of complete manifolds of nonnegative curvature. Ann. Math.96, 413–443 (1972).

    Google Scholar 

  4. Eberlein, P.: Lattices in manifolds of nonpositive curvature. Ann. Math.111, 435–476 (1980).

    Google Scholar 

  5. Eberlein, P., O'Neill, B.: Visibility manifolds. Pac. J. Math.46, 45–109 (1973)

    Google Scholar 

  6. Eschenburg, J.: Local convexity and nonnegative curvature — Gromov's proof of the sphere theorem. Invent. Math.84, 507–522 (1986)

    Google Scholar 

  7. Eschenburg, J., Heintze, E.: An elementary proof of the Cheeger-Gromoll splitting theorem. Ann. Glob. Anal. and Geom.2, 141–151 (1984)

    Google Scholar 

  8. Greene, R., Wu, H.: Gap theorems for noncompact Riemannian manifolds. Duke Math. J.49, 731–756 (1982)

    Google Scholar 

  9. Gromov, M.: Manifolds of negative curvature. J. Differ. Geom.13, 223–230 (1978)

    Google Scholar 

  10. Hopf, H.: Differential geometry in the large. Lect. Notes Math.1000. Berlin Heidelberg New York: Springer 1983

    Google Scholar 

  11. Sacksteder, R.: On hypersurfaces with nonnegative sectional curvature. Am. J. Math.82, 609–630 (1960)

    Google Scholar 

  12. Schroeder, V.: Rigidity of nonpositively curved graph manifolds. Math. Ann.274, 19–26 (1986)

    Google Scholar 

  13. Schroeder, V., Ziller, W.: Local rigidity of symmetric spaces. Preprint

  14. Thurston, W.: The geometry and topology of 3-manifolds. Lecture notes, Princeton University 1978

Download references

Author information

Authors and Affiliations

  1. Mathematisches Institut der Universität, Hebelstr. 29, D-7800, Freiburg, Germany

    J. H. Eschenburg

  2. Mathematisches Institut der WWU, Einsteinstr. 62, D-4400, Münster, Germany

    V. Schroeder

Authors
  1. J. H. Eschenburg
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. V. Schroeder
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Supported by DFG

Rights and permissions

Reprints and permissions

About this article

Cite this article

Eschenburg, J.H., Schroeder, V. Riemannian manifolds with flat ends. Math Z 196, 573–589 (1987). https://doi.org/10.1007/BF01160897

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01160897

Keywords

Search

Navigation