The main theorem for (anti-)self-dual conformal torsion-free connection on a four-dimensional manifold

DOI10.3103/S1066369X1902004XzbMath1429.37020OpenAlexW2952151324WikidataQ127702171 ScholiaQ127702171MaRDI QIDQ2287043

V. A. Luk'yanov, L. N. Krivonosov

Publication date: 23 January 2020

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x1902004x

zbMATH Keywords

Maxwell's equationsEinstein's equationsWeyl tensorself-dualityconformal connectionconformal curvature

Mathematics Subject Classification ID

Einstein-Maxwell equations (83C22) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Einstein equations (35Q76) Flows related to complex manifolds (e.g., Kähler-Ricci flows, Chern-Ricci flows) (53E30) Flows related to mean curvature (53E10)

Related Items (2)

Specificity of Petrov classification of (anti-)self-dual zero signature metrics ⋮ Уравнения дуальности на 4-многообразии конформной связности без кручения и некоторые их решения для нулевой сигнатуры

Cites Work

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• On the Einstein-Weyl and conformal self-duality equations
• SELFDUAL GEOMETRY OF GENERALIZED KÄHLERIAN MANIFOLDS
• Self-duality in four-dimensional Riemannian geometry
• Some local aspects of the theory of conformal structure
• Anti-self-dual four–manifolds with a parallel real spinor
• Structure of the Main Tensor of Conformally Connected Torsion Free Space. Conformal Connections on Hypersurfaces of Projective Space

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