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

Abstract

We show that although closed $\widetilde{\mathbb{SL}}\times {\mathbb{E}}^n$-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 $n\ge 2$.

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