On the variational characterization on conformally flat 3-manifolds

DOI10.1016/0393-0440(90)90022-UzbMath0728.58004OpenAlexW2058895933MaRDI QIDQ805020

Osmo Pekonen

Publication date: 1990

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0393-0440(90)90022-u

zbMATH Keywords

Chern-Simons functionalconformally flat structuresDeWitt metric

Mathematics Subject Classification ID

Moduli problems for differential geometric structures (58D27) Relativistic gravitational theories other than Einstein's, including asymmetric field theories (83D05) Critical metrics (58E11) Applications of variational problems in infinite-dimensional spaces to the sciences (58E50) Variational principles of physics (49S05) Manifolds of metrics (especially Riemannian) (58D17)

Related Items

Spaces of Riemannian metrics

Cites Work

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• Déformations infinitésimales des structures conformes plates. (Infinitesimal deformations of conformally flat structures)
• On the DeWitt metric
• Conformal changes of metrics and the initial-value problem of general relativity
• An instanton-invariant for 3-manifolds
• Characteristic forms and geometric invariants
• Some decompositions of the space of symmetric tensors on a Riemannian manifolds
• Richtungsfelder und Fernparallelismus in \(n\)-dimensionalen Mannigfaltigkeiten
• On conformally-flat spaces in the large
• Affine structures in 3-manifolds. V: The triangulation theorem and Hauptvermutung
• The Manifold of Conformally Equivalent Metrics
• Conformally invariant orthogonal decomposition of symmetric tensors on Riemannian manifolds and the initial-value problem of general relativity