Skip to main content

Recent developments in the theory of discontinuous groups of motions of symmetric spaces

  • Conference paper
  • First Online:
Proceedings of the 15th Scandinavian Congress Oslo 1968

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 118))

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 29.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 39.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. A. Borel and Harish-Chandra, Arithmetic subgroups of algebraic groups, Ann. of Math. 75 (1967), pp. 485–535.

    Article  MathSciNet  MATH  Google Scholar 

  2. E. Calabi, On compact riemannian manifolds with constant curvature I, Proc. Symp. Pure Math. III (Differential Geometry) 1961, pp. 155–180.

    Article  MathSciNet  MATH  Google Scholar 

  3. — and E. Vesentini, On compact locally symmetric Kähler manifolds, Ann. of Math. 71 (1960), pp. 472–507.

    Article  MathSciNet  MATH  Google Scholar 

  4. R. Fricke and F. Klein, Vorlesungen über die Theorie der automorphen Funktionen. B. G. Teubner, Leipzig, 1912.

    MATH  Google Scholar 

  5. H. Garland and M. S. Raghunathan, Fundamental domains for lattices in rank one semisimple Lie groups, Yale University, Dept. of Math. preprint, 1968.

    Google Scholar 

  6. S. Helgason, Differential Geometry and Symmetric Spaces. Academic Press, New York, N. Y., 1962.

    MATH  Google Scholar 

  7. D. A. Kazdan, Connection of the dual space of a group with the structure of its closed subgroups, Funct. Analysis and its Appl. 1 (1967), pp. 63–65.

    Article  MathSciNet  Google Scholar 

  8. — and H. A. Margulies, Proof of the Selberg hypothesis, Mat. Sborn. 75 (1968), pp. 163–168.

    Google Scholar 

  9. Y. Matsushima, On the first Betti number of compact quotient spaces of higher dimensional symmetric spaces, Ann. of Math. 75 (1962), pp. 312–330.

    Article  MathSciNet  MATH  Google Scholar 

  10. G. D. Mostow, Quasiconformal mappings in n-space and rigidity of hyperbolic space forms, Inst. Hautes Études Sci. Publ. Math. 34 (1968), pp. 53–104.

    Article  MathSciNet  MATH  Google Scholar 

  11. I. I. Piatetsky-Shapiro, Discrete subgroups of analytic automorphisms of a polycylinder and automorphic forms, Dokl. Akad. Nauk. SSSR, 124 (1959), pp. 760–763.

    MathSciNet  MATH  Google Scholar 

  12. A. Selberg, On discontinuous groups in higher dimensional symmetric spaces, Contributions to Function Theory, Bombay, 1960, pp. 147–164.

    MATH  Google Scholar 

  13. A. Weil, On discrete subgroups of Lie groups (I & II), Ann. of Math. 72 (1960), pp. 369–384 and 75 (1962), pp. 578–602.

    Article  MathSciNet  MATH  Google Scholar 

Download references

Authors

Editor information

K. E. Aubert W. Ljunggren

Rights and permissions

Reprints and permissions

Copyright information

© 1969 Springer-Verlag

About this paper

Cite this paper

Selberg, A. (1969). Recent developments in the theory of discontinuous groups of motions of symmetric spaces. In: Aubert, K.E., Ljunggren, W. (eds) Proceedings of the 15th Scandinavian Congress Oslo 1968. Lecture Notes in Mathematics, vol 118. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0060254

Download citation

  • DOI: https://doi.org/10.1007/BFb0060254

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-04907-4

  • Online ISBN: 978-3-540-36246-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics