Chern-Simons forms associated to homogeneous pseudo-Riemannian structures

DOI10.1216/rmjm/1181069772zbMath1078.57027OpenAlexW2002009960WikidataQ115239950 ScholiaQ115239950MaRDI QIDQ2566481

Pedro Martínez Gadea, Jose A. Oubina

Publication date: 26 September 2005

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181069772

zbMATH Keywords

locally symmetric spaceChern-Simons formpseudo-Riemannian structure

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Characteristic classes and numbers in differential topology (57R20) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Cites Work

• 3-manifolds whose universal coverings are Lie groups
• Curvatures of left invariant metrics on Lie groups
• Reductive homogeneous pseudo-Riemannian manifolds
• Chern-Simons forms of pseudo-Riemannian homogeneity on the oscillator group
• On homogeneous Riemannian manifolds
• On the cohomology of compact homogeneous spaces of nilpotent Lie groups
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