Skip to main content
Log in

Dirichlet regions in manifolds without conjugate points

  • Published:
Commentarii Mathematici Helvetici

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

  1. Busemann, H.,Spaces with non-positive curvature, Acta Math.80 (1948), 259–310.

    Article  MathSciNet  MATH  Google Scholar 

  2. —,The geometry of geodesics, Pure and Applied Mathematics, No. VI, Academic Press, New York, 1955.

    MATH  Google Scholar 

  3. Eberlein, P.,The cut locus of noncompact finitely connected surfaces without conjugate points, Comment. Math. Helvetici51 (1976), 23–41.

    Article  MathSciNet  MATH  Google Scholar 

  4. Ehrlich, P. E. andIm Hof, H. C.,Metric circles and bisectors, Math. Z.159 (1978), 101–105.

    Article  MathSciNet  MATH  Google Scholar 

  5. Greenberg, L.,Fundamental polyhedra for kleinian groups, Ann. of Math.84 (1966), 433–441.

    Article  MathSciNet  MATH  Google Scholar 

  6. Hurewicz, W. andWallman, H.,Dimension theory, Princeton Mathematical Series, No. 4, Princeton University Press, Princeton, 1948.

    MATH  Google Scholar 

  7. Im Hof, H. C.,The family of horospheres through two points, Math. Ann.240 (1979), 1–11.

    Article  MathSciNet  MATH  Google Scholar 

  8. Kobayashi, S.,Transformation groups in differential geometry, Ergebnisse der Mathematik und ihrer Grenzgebiete, Bd.70, Springer, Berlin, 1972.

    Book  MATH  Google Scholar 

  9. — andNomizu, K.,Foundations of differential geometry, Interscience Tracts in Pure and Applied Mathematics, No. 15, Interscience, New York, 1963/69.

    Google Scholar 

  10. Ozols, V.,Cut loci in riemannian manifolds, Tôhoku Math. J.26 (1974), 219–227.

    Article  MathSciNet  MATH  Google Scholar 

  11. Sugahara, K.,On the cut locus and the topology of riemannian manifolds, J. Math. Kyoto Univ.14 (1974), 391–411.

    MathSciNet  MATH  Google Scholar 

  12. Witt, E.,Über die Konstruktion von Fundamentalbereichen, Ann. di Mat. (4)36 (1954), 215–221.

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Supported partly by the Sonderforschungsbereich “Theoretische Mathematik” at the University of Bonn and partly by a grant from the Research Council of the Graduate School, University of Missouri-Columbia.

Supported by the Swiss National Science Foundation and the Sonderforschungsbereich “Theoretische Mathematik” at the University of Bonn.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ehrlich, P.E., Hof, HC.I. Dirichlet regions in manifolds without conjugate points. Commentarii Mathematici Helvetici 54, 642–658 (1979). https://doi.org/10.1007/BF02566298

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02566298

Keywords

Navigation