Harmonicity of vector fields on a class of Lorentzian solvable Lie groups

DOI10.1515/advgeom-2017-0014zbMath1395.53062OpenAlexW2625767879WikidataQ115237042 ScholiaQ115237042MaRDI QIDQ1653982

Shaoqiang Deng, Ju Tan

Publication date: 7 August 2018

Published in: Advances in Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/advgeom-2017-0014

zbMATH Keywords

Lie groupharmonic mapsharmonic sectionsspatially harmonic

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Differential geometric aspects of harmonic maps (53C43)

Related Items (1)

Left invariant pseudo-Riemannian metrics on solvable Lie groups

Cites Work

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• Harmonicity of vector fields on four-dimensional generalized symmetric spaces
• Spacelike energy of timelike unit vector fields on a Lorentzian manifold
• Harmonicity properties of invariant vector fields on three-dimensional Lorentzian Lie groups
• On the geometrical properties of solvable Lie groups
• Curvatures of left invariant metrics on Lie groups
• Left-invariant Lorentz metrics on Lie groups
• Relationship between volume and energy of vector fields.
• Codimension One Isometric Immersions Between Lorentz Spaces
• Lorentzian Flat Lie Groups Admitting a Timelike Left-Invariant Killing Vector Field
• On the energy of a unit vector field

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