Skip to main content
Log in

Rigidity of nonpositively curved graphmanifolds

  • Published:
Mathematische Annalen Aims and scope Submit manuscript

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

Access this article

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

Instant access to the full article PDF.

References

  • [B] Ballmann, W.: Nonpositively curved manifolds of higher rank. Ann. Math. (to appear)

  • [BBE] Ballmann, W., Brin, M., Eberlein, P.: Structure of manifolds, of nonpositive curvature I. Ann. Math.122, 171–203 (1985)

    Google Scholar 

  • [BBS] Ballmann, W., Brin, M., Spatzier, R.: Structure of manifolds of nonpositive curvature II. Ann. Math.122, 205–235 (1985)

    Google Scholar 

  • [BE] Ballmann, W., Eberlein, P.: Fundamental group of manifolds of nonpositive curvature. (To appear)

  • [BGS] Ballmann, W., Gromov, M., Schroeder, V.: Manifolds of nonpositive curvature. Basel: Birkhäuser 1985

    Google Scholar 

  • [E1] Eberlein, P.: Euclidean de Rham factor of a lattice of nonpositive curvature. J. Differ. Geom.18, 209–220 (1983)

    Google Scholar 

  • [E2] Eberlein, P.: Rigidity of lattices of nonpositive curvature. J. Erg. Th. Dyn. Syst.3, 47–85 (1983)

    Google Scholar 

  • [E3] Eberlein, P.: Lattices in manifolds of nonpositive curvature. Ann. Math.111, 435–476 (1980)

    Google Scholar 

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

    Google Scholar 

  • [G] Gromov, M.: Manifolds of negative curvature. J. Differ. Geom.13, 223–230 (1978)

    Google Scholar 

  • [GW] Gromoll, D., Wolf, J.: Some relations between the metric structure and the algebraic structure of the fundamental group in manifolds of nonpositive curvature. Bull. A.M.S.77, 545–552 (1971)

    Google Scholar 

  • [LY] Lawson, H.B., Yau, S.T.: Compact manifolds of nonpositive curvature. J. Differ. Geom.7, 221–228 (1972)

    Google Scholar 

  • [M] Mostow, G.D.: Strong Rigidity of locally symmetric spaces. Ann. Math. Studies 78. Princeton: Princeton University Press 1973

    Google Scholar 

  • [S] Schroeder, V.: A splitting theorem for spaces of nonpositive curvature. Invent. Math.79, 323–327 (1985)

    Google Scholar 

  • [W] Waldhausen, F.: Eine Klasse, von 3-dimensionalen Mannigfaltigkeiten. II. Invent. Math.4, 87–117 (1967)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Research supported in part by NSF Grant 8120790

Rights and permissions

Reprints and permissions

About this article

Cite this article

Schroeder, V. Rigidity of nonpositively curved graphmanifolds. Math. Ann. 274, 19–26 (1986). https://doi.org/10.1007/BF01458013

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01458013

Navigation