Closedness of the tangent spaces to the orbits of proper actions

Details Closedness of the tangent spaces to the orbits of proper actions Closedness of the tangent spaces to the orbits of proper actions

2008-04-30

arxiv.org/abs/0804.4858v1

Mathematics

Differential Geometry

Scientific paper

In this note we show that for any proper action of a Banach--Lie group $G$ on
a Banach manifold $M$, the corresponding tangent maps $\g \to T_x(M)$ have
closed range for each $x \in M$, i.e., the tangent spaces of the orbits are
closed. As a consequence, for each free proper action on a Hilbert manifold,
the quotient $M/G$ carries a natural manifold structure.

Affiliated with

Also associated with

No associations

Rating

Closedness of the tangent spaces to the orbits of proper actions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Closedness of the tangent spaces to the orbits of proper actions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Closedness of the tangent spaces to the orbits of proper actions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-578258