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research article

Closedness of the Tangent Spaces to the Orbits of Proper Actions

Jotz, Madeleine
•
Neeb, Karl-Hermann
2008
Journal Of Lie Theory

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.

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Type
research article
Web of Science ID

WOS:000264012900002

Author(s)
Jotz, Madeleine
•
Neeb, Karl-Hermann
Date Issued

2008

Published in
Journal Of Lie Theory
Volume

18

Start page

517

End page

521

Subjects

Banach Lie group

•

Banach manifold

•

proper action

Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
SB  
Available on Infoscience
November 30, 2010
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/60651
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