MAXIMAL TORUS ACTIONS ON SOLVMANIFOLDS AND DOUBLE COSET SPACES
Keyword(s):
Any compact, connected Lie group which acts effectively on a closed aspherical manifold is a torus Tk with k ≤ rank of [Formula: see text], the center of π1 (M). When [Formula: see text], the torus action is called a maximal torus action. The authors have previously shown that many closed aspherical manifolds admit maximal torus actions. In this paper, a smooth maximal torus action is constructed on each solvmanifold. They also construct smooth maximal torus actions on some double coset spaces of general Lie groups as applications.
1988 ◽
Vol 45
(1)
◽
pp. 30-45
◽
Keyword(s):
1982 ◽
Vol 33
(2)
◽
pp. 185-192
◽
Keyword(s):
1985 ◽
Vol 38
(1)
◽
pp. 55-64
◽
Keyword(s):
2017 ◽
Vol 14
(09)
◽
pp. 1750126
1986 ◽
Vol 99
(2)
◽
pp. 297-305
◽
2007 ◽
Vol 17
(01)
◽
pp. 115-139
◽
Keyword(s):
Keyword(s):
2015 ◽
Vol 18
(1)
◽
pp. 489-506
◽
1984 ◽
Vol 27
(1)
◽
pp. 25-29
◽
Keyword(s):