CONFORMAL TRANSFORMATIONS OF COMPACT SELF-DUAL MANIFOLDS
1994 ◽
Vol 05
(01)
◽
pp. 125-140
◽
Keyword(s):
We prove that when the dimension of the group of conformal transformations of a compact self-dual manifold is at least three, the conformal class contains either a metric with positive constant scalar curvature or a metric with zero scalar curvature. This result is combined with a topological classification of 4-manifolds to provide a complete geometrical classification of the compact self-dual manifolds whose symmetry group is at least three-dimensional.
2001 ◽
Vol 33
(4)
◽
pp. 459-465
◽
2012 ◽
Vol 55
(3)
◽
pp. 474-486
◽
Keyword(s):
1990 ◽
Vol 45
(6)
◽
pp. 109-135
◽
2002 ◽
Vol 58
(2)
◽
pp. 198-218
◽
2000 ◽
Vol 13
(2)
◽
pp. 63-70
◽
2020 ◽
Vol 66
(2)
◽
pp. 160-181
Keyword(s):
1991 ◽
pp. 267-296
◽