Metrics on 4-dimensional unimodular Lie groups

DOI10.1007/S10455-016-9527-ZzbMath1369.53033OpenAlexW2527717247WikidataQ115384570 ScholiaQ115384570MaRDI QIDQ517476

Scott Van Thuong

Publication date: 23 March 2017

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10455-016-9527-z

zbMATH Keywords

4-dimensional groupspace of metricsunimodular group

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Global Riemannian geometry, including pinching (53C20)

Related Items (5)

\(J\)-trajectories in 4-dimensional solvable Lie group \(\mathrm{Sol}_0^4\) ⋮ Control systems on nilpotent Lie groups of dimension \(\leq 4\): equivalence and classification ⋮ \(J\)-trajectories in 4-dimensional solvable Lie group \(\mathrm{Sol}_1^4\) ⋮ Unnamed Item ⋮ Unnamed Item

Uses Software

• Mathematica

Cites Work

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• The space of left-invariant metrics on a Lie group up to isometry and scaling
• Geometric structures on compact complex analytic surfaces
• Isometry groups of unimodular simply connected 3-dimensional Lie groups
• Product structures on four dimensional solvable Lie algebras
• Left invariant metrics and curvatures on simply connected three-dimensional Lie groups
• Isometry Groups of Riemannian Solvmanifolds
• HOMOGENEOUS RIEMANNIAN SPACES OF NEGATIVE CURVATURE
• UNIMODULAR GROUPS OF TYPE ℝ³⋊ ℝ

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