Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
A. Borel and Harish-Chandra, Arithmetic subgroups of algebraic groups, Ann. of Math. 75 (1967), pp. 485–535.
E. Calabi, On compact riemannian manifolds with constant curvature I, Proc. Symp. Pure Math. III (Differential Geometry) 1961, pp. 155–180.
— and E. Vesentini, On compact locally symmetric Kähler manifolds, Ann. of Math. 71 (1960), pp. 472–507.
R. Fricke and F. Klein, Vorlesungen über die Theorie der automorphen Funktionen. B. G. Teubner, Leipzig, 1912.
H. Garland and M. S. Raghunathan, Fundamental domains for lattices in rank one semisimple Lie groups, Yale University, Dept. of Math. preprint, 1968.
S. Helgason, Differential Geometry and Symmetric Spaces. Academic Press, New York, N. Y., 1962.
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.
— and H. A. Margulies, Proof of the Selberg hypothesis, Mat. Sborn. 75 (1968), pp. 163–168.
Y. Matsushima, On the first Betti number of compact quotient spaces of higher dimensional symmetric spaces, Ann. of Math. 75 (1962), pp. 312–330.
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.
I. I. Piatetsky-Shapiro, Discrete subgroups of analytic automorphisms of a polycylinder and automorphic forms, Dokl. Akad. Nauk. SSSR, 124 (1959), pp. 760–763.
A. Selberg, On discontinuous groups in higher dimensional symmetric spaces, Contributions to Function Theory, Bombay, 1960, pp. 147–164.
A. Weil, On discrete subgroups of Lie groups (I & II), Ann. of Math. 72 (1960), pp. 369–384 and 75 (1962), pp. 578–602.
Editor information
Rights 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