A Kaluza-Klein approach to hyperbolic three-manifolds

zbMath0684.53028MaRDI QIDQ1825447

Peter J. Braam

Publication date: 1988

Published in: L'Enseignement Mathématique. 2e Série (Search for Journal in Brave)

zbMATH Keywords

scalar curvaturemonopolesconformally flat manifoldsHiggs fieldBogomolny equationHodge theory\(L^ 2\) harmonic 1- forms and 2-forms\(S^ 1\)-invariant instantons3-manifolds associated to Kleinian groupscircle actions on the 4-sphereconformally- flat metricfixed surfacesHausdorff dimension of the limit set of a geometrically finite Kleinian groupholomorphic bundles over a twistor spacehyperbolic geometry in 3 dimensionsinvariant Yang-Mills instantons in 4-dimensionsPenrose-Ward twistor correspondence

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Constructive quantum field theory (81T08) Kaluza-Klein and other higher-dimensional theories (83E15) Twistor theory, double fibrations (complex-analytic aspects) (32L25) Connections (general theory) (53C05)

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