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Bach tensor

In differential geometry and general relativity, the Bach tensor is a trace-free tensor of rank 2 which is conformally invariant in dimension n = 4. Before 1968, it was the only known conformally invariant tensor that is algebraically independent of the Weyl tensor. In abstract indices the Bach tensor is given by

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Bach tensor

Nodes12
Edges11
Triples29
Avg. degree1.83
Density0.166667
Components1

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Bach tensor

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related to Further reading · 28
Bach tensor → Arthur, Bach, Baumgarte, Besse, Cambridge University Press, Ch, Christodoulou-Klainerman, Computer, Coton, Demetrios Christodoulou, Einstein Equations, Einstein Manifolds, European Mathematical Society, General Relativity, Mathematical Problems, Minkowski, Numerical Relativity, Oxford University Press, Quadratic Functionals, See Ch
is a · 1
Bach tensor → trace-free tensor of rank 2 which is conformally invariant in dimension n

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tensor relativity bach conformally see ch general invariant weyl einstein mathematical equations university press differential geometry trace-free rank dimension 1968

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SubjectPredicateObjectConfidenceSrc
Bach tensoris atrace-free tensor of rank 2 which is conformally invariant in dimension n0.90text
Bach tensorrelated to Further readingArthur0.60section
Bach tensorrelated to Further readingBesse0.60section
Bach tensorrelated to Further readingEinstein Manifolds0.60section
Bach tensorrelated to Further readingSpringer-Verlag0.60section
Bach tensorrelated to Further readingSee Ch0.60section
Bach tensorrelated to Further readingQuadratic Functionals0.60section
Bach tensorrelated to Further readingDemetrios Christodoulou0.60section
Bach tensorrelated to Further readingMathematical Problems0.60section
Bach tensorrelated to Further readingGeneral Relativity0.60section
Bach tensorrelated to Further readingEuropean Mathematical Society0.60section
Bach tensorrelated to Further readingCh0.60section

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