Cartan-decomposition subgroups of SO(2,n)

Abstract

For G = SL(3,R) and G = SO(2,n), we give explicit, practical conditions that determine whether or not a closed, connected subgroup H of G has the property that there exists a compact subset C of G with CHC = G. To do this, we fix a Cartan decomposition G = KAK of G, and then carry out an approximate calculation of the intersection of KHK with A, for each closed, connected subgroup H of G.

Latex2e file, 32 pages, no figures; corrected error in the main theorems

Cited by in corpus (5)

• On discontinuous group actions on non-Riemannian homogeneous spaces
• On solvable compact Clifford-Klein forms
• Compact Clifford-Klein forms of homogeneous spaces of SO(2,n)
• The Matsumoto and Yor process and infinite dimensional hyperbolic space
• Cartan projections of some non-reductive subgroups and proper actions on homogeneous spaces