Flat Riemannian manifolds are boundaries

DOI10.1007/BF01389221zbMath0468.57025WikidataQ115393629 ScholiaQ115393629MaRDI QIDQ1156404

Gary C. Hamrick, David C. Royster

Publication date: 1982

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/142890

zbMATH Keywords

compact flat Riemannian manifoldboundary of a manifoldinvolution on a smooth manifold with the homotopy type of a flat manifoldsmooth action of the k-fold sum of Z mod 2

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Finite transformation groups (57S17) (mathrm{O})- and (mathrm{SO})-cobordism (57R75)

Related Items (15)

A bounding question for almost flat manifolds ⋮ Peripheral separability and cusps of arithmetic hyperbolic orbifolds ⋮ Riemannian hyperbolization ⋮ Cusps of Hilbert modular varieties ⋮ Compact Lie Group Action and Equivariant Bordism ⋮ Decomposition of flat manifolds ⋮ All flat manifolds are cusps of hyperbolic orbifolds ⋮ An alternative proof of a theorem of Davis and Fang ⋮ Higher dimensional Möbius bands and their boundaries ⋮ TWISTED TOPOLOGICAL STRUCTURES RELATED TO M-BRANES ⋮ Almost additive entropy ⋮ All flat three-manifolds appear as cusps of hyperbolic four-manifolds ⋮ On the geometric boundaries of hyperbolic 4-manifolds ⋮ All 4-dimensional infra-solvmanifolds are boundaries ⋮ The bounding problem for infra-solvmanifolds

Cites Work

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• Stabilizations of periodic maps on manifolds
• Involutions and characteristic numbers
• The unoriented cobordism classes of compact flat Riemannian manifolds
• On the integral Pontrjagin classes of a Riemannian flat manifold
• Equivariant bordism and \((Z_ 2)^ k\) actions
• Flat Riemannian manifolds
• Compact Flat Riemannian Manifolds III: The Group of Affinities
• The Bordism Ring of Manifolds with Involution

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