About: Curvature invariant (general relativity)

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In general relativity, curvature invariants are a set of scalars formed from the Riemann, Weyl and Ricci tensors - which represent curvature, hence the name, - and possibly operations on them such as contraction, covariant differentiation and dualisation.

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rdfs:label	Curvature invariant (general relativity) (en) Invariant de courbure (relativité générale) (fr) Invariante de curvatura (relatividade geral) (pt)
rdfs:comment	Na relatividade geral, invariantes de curvatura são um conjunto de escalares formados a partir dos tensores de Riemann, Weyl e Ricci - que representam curvatura, daí o nome, - e, possivelmente, as operações sobre eles como a , diferenciação covariante e . (pt) In general relativity, curvature invariants are a set of scalars formed from the Riemann, Weyl and Ricci tensors - which represent curvature, hence the name, - and possibly operations on them such as contraction, covariant differentiation and dualisation. (en) En relativité générale, les invariants de courbure sont un ensemble de scalaires formé à partir des tenseurs de Riemann, Weyl et Ricci. Cet ensemble représente la courbure, et éventuellement les opérations telles que les contractions, les dérivées covariantes et la dualisation de Hodge. (fr)
dcterms:subject	Tensors in general relativity
Wikipage page ID	2710800 (xsd:integer)
Wikipage revision ID	966874342 (xsd:integer)
Link from a Wikipage to another Wikipage	Quadratic function Scalar (mathematics) Topogravitic tensor Bel decomposition Curvature invariant Instanton Invariant (physics) General relativity Erich Kretschmann Hodge dual Traceless Lorentz group Lorentzian manifold Kretschmann scalar Kundt spacetime Curvature Tensors in general relativity Carminati-McLenaghan invariants Tensor contraction Riemannian manifold Isometry Bach tensor Electrogravitic tensor Polynomial Positive definite Spacetime Metric tensor Newman–Penrose formalism Euler characteristic Weyl tensor Ricci decomposition Magnetogravitic tensor Weyl scalar Dual tensor Petrov type Riemann tensor Covariant differentiation Ricci scalar Ricci tensor VSI spacetimes
Link from a Wikipage to an external page	http://www.arxiv.org/abs/gr-qc/0302095
sameAs	Curvature invariant (general relativity) Curvature invariant (general relativity) Curvature invariant (general relativity) Curvature invariant (general relativity) Curvature invariant (general relativity) Curvature invariant (general relativity)
dbp:wikiPageUsesTemplate	dbt:Cite_journal
has abstract	In general relativity, curvature invariants are a set of scalars formed from the Riemann, Weyl and Ricci tensors - which represent curvature, hence the name, - and possibly operations on them such as contraction, covariant differentiation and dualisation. Certain invariants formed from these curvature tensors play an important role in classifying spacetimes. Invariants are actually less powerful for distinguishing locally non-isometric Lorentzian manifolds than they are for distinguishing Riemannian manifolds. This means that they are more limited in their applications than for manifolds endowed with a positive definite metric tensor. (en) En relativité générale, les invariants de courbure sont un ensemble de scalaires formé à partir des tenseurs de Riemann, Weyl et Ricci. Cet ensemble représente la courbure, et éventuellement les opérations telles que les contractions, les dérivées covariantes et la dualisation de Hodge. Certains invariants formés à partir de ces tenseurs de courbure jouent un rôle important dans la classification des espaces-temps. Les invariants sont en réalité moins puissants pour distinguer localement les variétés lorentziennes non-isométriques que pour distinguer les variétés riemanniennes. Cela signifie qu'ils sont plus limités dans leurs applications que pour les variétés dotées d'un tenseur métrique positif défini. (fr) Na relatividade geral, invariantes de curvatura são um conjunto de escalares formados a partir dos tensores de Riemann, Weyl e Ricci - que representam curvatura, daí o nome, - e, possivelmente, as operações sobre eles como a , diferenciação covariante e . (pt)
gold:hypernym	Set
prov:wasDerivedFrom	wikipedia-en:Curvature_invariant_(general_relativity)?oldid=966874342&ns=0
page length (characters) of wiki page	6733 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Curvature_invariant_(general_relativity)
is Link from a Wikipage to another Wikipage of	Curvature invariant Index of physics articles (C) Kretschmann scalar Mathematics of general relativity Gravitational singularity Gustav Herglotz Carminati–McLenaghan invariants
is foaf:primaryTopic of	wikipedia-en:Curvature_invariant_(general_relativity)

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