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Schouten-Nijenhuis bracket — In differential geometry, the Schouten Nijenhuis bracket, also known as the Schouten bracket, is a type of graded Lie bracket defined on multivector fields on a smooth manifold extending the Lie bracket of vector fields. There are two different… … Wikipedia
Schouten–Nijenhuis bracket — In differential geometry, the Schouten–Nijenhuis bracket, also known as the Schouten bracket, is a type of graded Lie bracket defined on multivector fields on a smooth manifold extending the Lie bracket of vector fields. There are two different… … Wikipedia
Jan Arnoldus Schouten — (28 August 1883, Nieuwer Amstel ndash;20 January 1971, Epe) was a Dutch mathematician. He was an important contributor to the development of tensor calculus and was one of the founders of the Mathematisch Centrum in Amsterdam.Schouten was a… … Wikipedia
Weyl tensor — In differential geometry, the Weyl curvature tensor, named after Hermann Weyl, is a measure of the curvature of spacetime or, more generally, a pseudo Riemannian manifold. Like the Riemann curvature tensor, the Weyl tensor expresses the tidal… … Wikipedia
Weyl–Schouten theorem — The Weyl–Schouten theorem in mathematics says that a Riemannian manifold of dimension n with n ge; 3 is conformally flat if and only if the Schouten tensor is a Codazzi tensor for n = 3, or the Weyl tensor vanishes for n > 3 … Wikipedia
Bach tensor — In differential geometry and general relativity, the Bach tensor is a tensor of rank 2 which is conformally invariant. In abstract indices the Bach tensor is given by:B {ab} = P {cd}{C a}^c} b}^d+ abla^c abla aP {bc} abla^c abla cP {ab}where C is … Wikipedia
Jan Schouten (Mathematiker) — Jan Arnoldus Schouten (* 28. August 1883, Amsterdam (Nieuweramstel); † 20. Januar 1971 in Epe, Niederlande) war ein niederländischer Mathematiker, der sich mit insbesondere mit der Differentialgeometrie beschäftigte und als einer der… … Deutsch Wikipedia
List of differential geometry topics — This is a list of differential geometry topics. See also glossary of differential and metric geometry and list of Lie group topics. Contents 1 Differential geometry of curves and surfaces 1.1 Differential geometry of curves 1.2 Differential… … Wikipedia
List of mathematics articles (S) — NOTOC S S duality S matrix S plane S transform S unit S.O.S. Mathematics SA subgroup Saccheri quadrilateral Sacks spiral Sacred geometry Saddle node bifurcation Saddle point Saddle surface Sadleirian Professor of Pure Mathematics Safe prime Safe… … Wikipedia
Ricci decomposition — In semi Riemannian geometry, the Ricci decomposition is a way of breaking up the Riemann curvature tensor of a pseudo Riemannian manifold into pieces with useful individual algebraic properties. This decomposition is of fundamental importance in… … Wikipedia
