The prescribed curvature problem in dimension four

DOI10.1016/j.matpur.2009.10.003zbMath1183.53020OpenAlexW2014237939MaRDI QIDQ1047703

I. Sánchez Rodríguez, L. M. Pozo Coronado, Jaime Muñoz Masqué

Publication date: 5 January 2010

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matpur.2009.10.003

zbMATH Keywords

Lie algebraBianchi identityformal integrabilitycurvature form

Mathematics Subject Classification ID

Jets in global analysis (58A20) Simple, semisimple, reductive (super)algebras (17B20) Connections (general theory) (53C05)

Cites Work

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• Counterexamples to some results on the existence of field copies
• Which 2-forms are locally curvature forms?
• Does a generic connection depend continuously on its curvature?
• Lie groups and Lie algebras III. Structure of Lie groups and Lie algebras. Transl. from the Russian by V. Minachin
• Structure of perfect Lie algebras without center and outer derivations
• Lectures on fibre bundles and differential geometry. Reissued
• Connections with prescribed curvature and Yang-Mills currents : the semi-simple case

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