Fixed-point theorems for groups acting on non-positively curved manifolds
Keyword(s):
We study isometric actions of Steinberg groups on Hadamard manifolds. We prove some rigidity properties related to these actions. In particular, we show that every isometric action of [Formula: see text] on Hadamard manifold when [Formula: see text] factors through a finite quotient. We further study actions on infinite-dimensional manifolds and prove a fixed-point theorem related to such actions.
1968 ◽
Vol 18
(2)
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pp. 149-153
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1994 ◽
Vol 188
(2)
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pp. 541-551
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Keyword(s):
2004 ◽
Vol 67
(1)
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pp. 1-33
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2004 ◽
Vol 41
(1)
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pp. 175-192
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1965 ◽
Vol 119
(2)
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pp. 179-179
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2006 ◽
Vol 21
(1)
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pp. 151-163
1981 ◽
Vol 1
(2)
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pp. 133-144
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