Skip to main content
Log in

On Schläfli's reduction formula

  • 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+
from $39.99 /Month
  • Starting from 10 chapters or articles per month
  • Access and download chapters and articles from more than 300k books and 2,500 journals
  • Cancel anytime
View plans

Buy Now

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

Instant access to the full article PDF.

References

  • [A1] Andreev, E.M.: On Convex Polyhedra in Lobačevskii Spaces. Math. USSR Sb.10 No. 3, 413–440 (1970)

    Article  MATH  Google Scholar 

  • [A2] Andreev, E.M.: The Intersection of the Plane Boundaries of a Polytope with Acute Angles. Math. Notes8, 761–764 (1970)

    MATH  Google Scholar 

  • [BH] Böhm, J., Hertel, E.: Polyedergeometrie inn-dimensionalen Räumen konstanter Krümmung. Basel: Birkhäuser 1981

    Google Scholar 

  • [C] Coxeter, H.S.M.: Discrete Groups Generated by Reflections. Ann. Math. II. Ser.35, 588–621 (1934)

    Article  MathSciNet  Google Scholar 

  • [IH] Im Hof, H.-C.: A Class of Hyperbolic Coxeter Groups. Expo. Math.3, 179–186 (1985)

    MATH  MathSciNet  Google Scholar 

  • [H] Hopf, H.: Die Curvatura integra Clifford-Kleinscher Raumformen. Nachr. Ges. Wiss. Gött., Math.-Phys. Kl., 1928, 131–141 (1925)

  • [K1] Kellerhals, R.: Über den Inhalt hyperbolischer Polyeder in den Dimensionen drei und vier. Dissertation, Basel 1988

  • [K2] Kellerhals, R.: On the Volume of Hyperbolic Polyhedra. Math. Ann.285, 541–569 (1989)

    Article  MATH  MathSciNet  Google Scholar 

  • [Kn] Kneser, H.: Der Simplexinhalt in der nichteuklidischen Geometrie. Dt. Math.1, 337–340 (1936)

    MATH  Google Scholar 

  • [S] Schläfli, L.: Theorie der vielfachen Kontinuität. In: Gesammelte Mathematische Abhandlungen1. Basel: Birkhäuser 1950

    Google Scholar 

  • [V1] Vinberg, È.B.: Hyperbolic Reflection Groups. Russ. Math. Surv.40, 31–75 (1985)

    Article  MATH  MathSciNet  Google Scholar 

  • [V2] Vinberg, È.B.: The Absence of Crystallographic Groups of Reflections in Lobachevsky Spaces of Large Dimension. Trans. Mosc. Math. Soc.47, 75–112 (1985)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kellerhals, R. On Schläfli's reduction formula. Math Z 206, 193–210 (1991). https://doi.org/10.1007/BF02571335

Download citation

  • Received:

  • Accepted:

  • Issue date:

  • DOI: https://doi.org/10.1007/BF02571335

Keywords