Closedness of the Tangent Spaces to the Orbits of Proper Actions
2008
Abstract
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.
Details
Title
Closedness of the Tangent Spaces to the Orbits of Proper Actions
Author(s)
Jotz, Madeleine ; Neeb, Karl-Hermann
Published in
Journal Of Lie Theory
Volume
18
Pages
517-521
Date
2008
Keywords
Other identifier(s)
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Laboratories
SB
Record Appears in
Scientific production and competences > Unattributed publications > SB - SB - Unattributed publications
Scientific production and competences > SB - School of Basic Sciences > SB - Unattributed publications
Peer-reviewed publications
Work produced at EPFL
Journal Articles
Published
Scientific production and competences > SB - School of Basic Sciences > SB - Unattributed publications
Peer-reviewed publications
Work produced at EPFL
Journal Articles
Published
Record creation date
2010-11-30