THERE ARE ONLY FINITELY MANY INFRA-NILMANIFOLDS UNDER EACH NILMANIFOLD

DOI10.1093/qmath/39.1.61zbMath0655.57029OpenAlexW1997916876MaRDI QIDQ3802277

Kyung Bai Lee

Publication date: 1988

Published in: The Quarterly Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/qmath/39.1.61

zbMATH Keywords

infra-nilmanifoldssimply connected nilpotent Lie groupaffine diffeomorphismessentially covered by a fixed nilmanifold

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Discontinuous groups of transformations (57S30)

Related Items (12)

Extensions realising a faithful abstract kernel and their automorphisms ⋮ Free actions of finite groups on the 3-dimensional nilmanifold ⋮ There are only finitely many infra-nilmanifolds under each nilmanifold: A new proof ⋮ The structure and topological meaning of almost-torsion free groups ⋮ Infra-nilmanifolds modeled on the group of uni-triangular matrices ⋮ Almost-crystallographic groups with many outer automorphisms ⋮ Representing the automorphism group of an almost crystallographic group ⋮ The finiteness of the Reidemeister number of morphisms between almost-crystallographic groups. ⋮ Constructing infra-nilmanifolds admitting an Anosov diffeomorphism ⋮ Classification of closed manifolds with \({\mathrm{Sol}_1}^{4}\)-geometry ⋮ Computational Aspects of Group Extensions and Their Applications in Topology ⋮ Affine structures on a class of virtually nilpotent groups

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