English

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

Geometric Topology 2012-05-21 v2 K-Theory and Homology

Abstract

We show that although closed SL~×En\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 n2n\geq2.

Cite

@article{arxiv.math/0410615,
  title  = {Surgery on $\widetilde{\Bbb{SL}}\times\Bbb{E}^n$-manifolds},
  author = {J. A. Hillman and S. K. Roushon},
  journal= {arXiv preprint arXiv:math/0410615},
  year   = {2012}
}

Comments

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

R2 v1 2026-07-22T17:11:44.700Z