Уравнения дуальности на 4-многообразии конформной связности без кручения и некоторые их решения для нулевой сигнатуры

DOI10.14498/vsgtu1674zbMath1449.53031OpenAlexW2966675124MaRDI QIDQ5216636

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

Publication date: 18 February 2020

Published in: Вестник Самарского государственного технического университета. Серия «Физико-математические науки» (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vsgtu1674

zbMATH Keywords

torsioncurvatureself-dualityHodge operatorYang-Mills equationsanti-self-dualitymanifold of conformal connection

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Linear and affine connections (53B05) Conformal structures on manifolds (53C18)

Related Items (1)

Specificity of Petrov classification of (anti-)self-dual zero signature metrics

Cites Work

• Unnamed Item
• The main theorem for (anti-)self-dual conformal torsion-free connection on a four-dimensional manifold
• The asymptotic pseudoconformal structure on a four-dimensional hypersurface and its totally isotropic two-dimensional submanifolds
• On the Einstein-Weyl and conformal self-duality equations
• Self-duality in four-dimensional Riemannian geometry
• Some local aspects of the theory of conformal structure
• Уравнения Янга-Миллса на 4-многообразиях конформной связности без кручения с различными сигнатурами
• Structure of the Main Tensor of Conformally Connected Torsion Free Space. Conformal Connections on Hypersurfaces of Projective Space

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