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

DOI10.4153/CMB-2011-003-4zbMATH Open1248.57014arXivmath/0410615OpenAlexW4298378180MaRDI QIDQ2882474

Jonathan A. Hillman, S. K. Roushon

Publication date: 4 May 2012

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Abstract: We show that although closed $widetildeBbbSLimesBbb{E}^n$-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 $ngeq2$.

Full work available at URL: https://arxiv.org/abs/math/0410615

zbMATH Keywords

topological rigiditygeometric structuresurgery groups

Mathematics Subject Classification ID

Geometric structures on manifolds of high or arbitrary dimension (57N16) Surgery obstructions, Wall groups (57R67)

Related Items (3)

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