On the equivalence of several definitions of compact infra-solvmanifolds

DOI10.3792/pjaa.89.114zbMath1288.22006arXiv1305.4270OpenAlexW2963518767MaRDI QIDQ2448583

Li Yu, Shintarô Kuroki

Publication date: 2 May 2014

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.4270

zbMATH Keywords

holonomyhomogeneous spacesolvable Lie groupinfra-solvmanifolddiscrete group action

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Discrete subgroups of Lie groups (22E40) Nilpotent and solvable Lie groups (22E25)

Related Items (2)

An averaging formula for Nielsen numbers on infra-solvmanifolds ⋮ All 4-dimensional infra-solvmanifolds are boundaries

Cites Work

• Collapsing, solvmanifolds and infrahomogeneous spaces
• Rigidity of group actions on solvable Lie groups
• Infra-solvmanifolds and rigidity of subgroups in solvable linear algebraic groups
• Structure and Geometry of Lie Groups
• Fixed-Point Theorems for Periodic Transformations
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