JP Journal of Geometry and Topology
Volume 3, Issue 1, Pages 65 - 88
(March 2003)
|
|
INDUCING CONNECTIONS ON SU(2)-BUNDLES
Giuseppina D'Ambra (Italy) and Andrea Loi (Italy)
|
-bundles
and
with
connections G on X and Ñ on Y and
Riemannian metrics
on
V and h on W, we study
immersions
inducing
both the given bundle with connection and the given metric. Our study relies on
Nash-Gromov implicit function theorem. We show, for the case when
is
the Hopf bundle, that if
then
there exists a nonempty open subset in the space of
-pairs
on V
which can be induced from
on
