Loading...
research article
Closedness of the Tangent Spaces to the Orbits of Proper Actions
Jotz, Madeleine
•
Neeb, Karl-Hermann
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 -> T-x(M) have closed range for each x is an element of 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.
Type
research article
Web of Science ID
WOS:000264012900002
Author(s)
Jotz, Madeleine
•
Neeb, Karl-Hermann
Date Issued
2008
Published in
Volume
18
Start page
517
End page
521
Peer reviewed
REVIEWED
Written at
EPFL
EPFL units
Available on Infoscience
November 30, 2010
Use this identifier to reference this record