Local rigidity and group cohomology I: Stowe's theorem for Banach manifolds
1999 ◽
Vol 59
(2)
◽
pp. 271-295
Keyword(s):
Stowe's Theorem on the stability of the fixed points of a C2 action of a finitely generated group Γ is generalised to C1 actions of such groups on Banach manifolds. The result is then used to prove that if φ is a Cr action on a smooth, closed, manifold M satisfying H1(Γ, Dr−1(M)) = 0, then φ is locally rigid. Here, r ≥ 2 and Dk(M) is the space of Ck tangent vector fields on M. This generalises a local rigidity result of Weil for representations of a finitely generated group Γ in a Lie group.
1998 ◽
Vol 18
(3)
◽
pp. 687-702
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Keyword(s):
2011 ◽
Vol 21
(04)
◽
pp. 595-614
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1971 ◽
Vol 5
(1)
◽
pp. 131-136
◽
Keyword(s):
2006 ◽
Vol 58
(4)
◽
pp. 673-690
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Keyword(s):
2003 ◽
Vol 46
(2)
◽
pp. 268-276
◽
2009 ◽
Vol 30
(6)
◽
pp. 1803-1816
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