Cartan's equivalence method

id: cartan-s-equivalence-method-257-15583823
title: Cartan's equivalence method
text: In mathematics, Cartan's equivalence method is a technique in differential geometry for determining whether two geometrical structures are the same up to a diffeomorphism. For example, if M and N are two Riemannian manifolds with metrics g and h, respectively, when is there a diffeomorphism such that Although the answer to this particular question was known in dimension 2 to Gauss and in higher dimensions to Christoffel and perhaps Riemann as well, Élie Cartan and his intellectual heirs develope
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category slug: encyclopedia
description: Differential geometry technique
original url: https://en.wikipedia.org/wiki/Cartan%27s_equivalence_method
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date modified: 2024-03-15T07:17:20Z
main entity: {"identifier":"Q5047041","url":"https://www.wikidata.org/entity/Q5047041"}
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