Surgery on $\widetilde{\Bbb{SL}}\times\Bbb{E}^n$-manifolds

Details Surgery on $\widetilde{\Bbb{SL}}\times\Bbb{E}^n$-manifolds Surgery on $\widetilde{\Bbb{SL}}\times\Bbb{E}^n$-manifolds

2004-10-29

arxiv.org/abs/math/0410615v2

Mathematics

Geometric Topology

7 pages, AMS-LaTeX file, To appear in the Canadian Mathematical Bulletin.

Scientific paper

10.4153/CMB-2011-003-4

We show that although closed $\widetilde{\Bbb{SL}}\times\Bbb{E}^n$-manifolds
do not admit metrics of nonpositive sectional curvature, the arguments of
Farrell and Jones can be extended to show that such manifolds are topologically
rigid, if $n\geq2$.

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