Harmonic metrics on four dimensional non-reductive homogeneous manifolds

DOI10.21136/CMJ.2018.0502-16zbMath1488.53192OpenAlexW2791072275MaRDI QIDQ4568232

Parvane Atashpeykar, Amirhesam Zaeim

Publication date: 15 June 2018

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.21136/cmj.2018.0502-16

zbMATH Keywords

pseudo-Riemannian geometryharmonic metricnon-reductive homogeneous space

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Global differential geometry of Hermitian and Kählerian manifolds (53C55) Differential geometric aspects of harmonic maps (53C43)

Related Items

Some results on harmonic metrics

Cites Work

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• Connections which are harmonic with respect to general natural metrics
• Harmonic metrics, harmonic tensors, and Gauss maps
• Harmonic-Killing vector fields
• Almost Osserman structures on natural Riemann extensions
• Harmonic almost complex structures with respect to general natural metrics
• Homogeneous geodesics of non-reductive homogeneous pseudo-Riemannian 4-manifolds
• Structures which are harmonic with respect to Walker metrics
• A complete classification of Ricci and Yamabe solitons of non-reductive homogeneous 4-spaces
• Harmonic sections of Riemannian vector bundles, and metrics of Cheeger-Gromoll type
• Ricci Solitons and Geometry of Four-dimensional Non-reductive Homogeneous Spaces
• The Geometry of Walker Manifolds
• Invariants of real low dimension Lie algebras
• Geometric structures over non-reductive homogeneous 4-spaces
• Non-reductive Homogeneous Pseudo-Riemannian Manifolds of Dimension Four
• Harmonic Mappings of Riemannian Manifolds