On closed radical orbits in homogeneous complex manifolds
1996 ◽
Vol 54
(3)
◽
pp. 363-368
◽
Keyword(s):
Suppose G is a complex Lie group having a finite number of connected components and H is a closed complex subgroup of G with H° solvable. Let RG denote the radical of G. We show the existence of closed complex subgroups I and J of G containing H such that I/H is a connected solvmanifold with I° ⊃ RG, the space G/J has a Klein form SG/A, where A is an algebraic subgroup of the semisimple complex Lie group SG: = G/RG, and, unless I = J, the space J/I has Klein form , where is a Zariski dense discrete subgroup of some connected positive dimensional semisimple complex Lie group Ŝ.
1981 ◽
Vol 89
(2)
◽
pp. 293-299
◽
Keyword(s):
1989 ◽
Vol 41
(1)
◽
pp. 163-177
◽
Keyword(s):
2009 ◽
Vol 24
(18n19)
◽
pp. 3243-3255
◽
1987 ◽
pp. 78-119
◽
2006 ◽
Vol 74
(1)
◽
pp. 85-90
1975 ◽
Vol 56
◽
pp. 121-138
◽
Keyword(s):