Classification of closed manifolds with \({\mathrm{Sol}_1}^{4}\)-geometry

DOI10.1007/S10711-018-0354-1OpenAlexW2800119835MaRDI QIDQ1736092

Scott Van Thuong

Publication date: 29 March 2019

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10711-018-0354-1

zbMATH Keywords

classificationsolvmanifoldsinfra-solvmanifolds4 dimensionaltwisted I-bundle

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Solvable groups, supersolvable groups (20F16) Nilpotent and solvable Lie groups (22E25) (mathrm{O})- and (mathrm{SO})-cobordism (57R75) Other geometric groups, including crystallographic groups (20H15)

Related Items (4)

Nielsen spectrum of maps on infra-solvmanifolds modeled on $Sol_0^{kern2pt 4}$ ⋮ \(J\)-trajectories in 4-dimensional solvable Lie group \(\mathrm{Sol}_1^4\) ⋮ Minimal submanifolds in \(\mathrm{Sol}_1^4\) ⋮ Unnamed Item

Uses Software

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Cites Work

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• Bieberbach theorems for solvable Lie groups
• Almost-Bieberbach groups: affine and polynomial structures
• INFRA-SOLVMANIFOLDS OF Sol₁⁴
• THERE ARE ONLY FINITELY MANY INFRA-NILMANIFOLDS UNDER EACH NILMANIFOLD
• Isometry Groups of Riemannian Solvmanifolds
• Differential Topology

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