Compact Clifford-Klein forms of homogeneous spaces of SO(2,n)
| dc.creator | Oh, Hee | |
| dc.creator | Witte, Dave | |
| dc.date | 1999-02-08 | |
| dc.date | 1999-03-05 | |
| dc.date.accessioned | 2026-07-07T05:27:50Z | |
| dc.date.available | 2026-07-07T05:27:50Z | |
| dc.description | A homogeneous space G/H is said to have a compact Clifford-Klein form if there exists a discrete subgroup D of G that acts properly discontinuously on G/H, such that the quotient space D\G/H is compact. When n is even, we find every closed, connected subgroup H of G = SO(2,n), such that G/H has a compact Clifford-Klein form, but our classification is not quite complete when n is odd. The work reveals new examples of homogeneous spaces of SO(2,n) that have compact Clifford-Klein forms, if n is even. Furthermore, we show that if H is a closed, connected subgroup of G = SL(3,R), and neither H nor G/H is compact, then G/H does not have a compact Clifford-Klein form, and we also study noncompact Clifford-Klein forms of finite volume. | |
| dc.description | Latex2e file, 22 pages, no figures; corrected error | |
| dc.identifier | https://arxiv.org/abs/math/9902050 | |
| dc.identifier | http://arxiv.org/abs/math/9902050 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/78073 | |
| dc.subject | Representation Theory | |
| dc.subject | Differential Geometry | |
| dc.subject | Group Theory | |
| dc.subject | 22E40 (Primary); 53C30 (Secondary) | |
| dc.title | Compact Clifford-Klein forms of homogeneous spaces of SO(2,n) | |
| dc.type | text |