In mathematics, Cartan's equivalence method is a technique in differential geometry for determining whether two geometrical structures are the same up...

absorption of torsion, and is one of the steps of Cartan's equivalence method for establishing the equivalence of geometric structures. In metric geometry,...

also plays a fundamental role in the study of G-structures and Cartan's equivalence method. Torsion is also useful in the study of unparametrized families...

establishes the equivalence of the two forms of the Maurer–Cartan equation. Maurer–Cartan forms play an important role in Cartan's method of moving frames...

was impressed by Cartan's unusual abilities. He recommended Cartan to participate in a contest for a scholarship in a lycée. Cartan prepared for the contest...

mapping into G. The strategy in Cartan's method of moving frames, as outlined briefly in Cartan's equivalence method, is to find a natural moving frame...

criterion Cartan decomposition Cartan's equivalence method Cartan formalism (physics) Cartan involution Cartan's magic formula Cartan relations Cartan map Cartan...

topology of the manifold because of their relationship with Cartan's equivalence method. Ehresmann connections were rather a solid framework for viewing...

his improvements and popularization of the methods of Élie Cartan (most notably, Cartan's equivalence method, an algorithmic procedure for determining...

connection form Cartan connection affine connection conformal connection projective connection method of moving frames Cartan's equivalence method Vierbein,...

including Lie groups and homogeneous spaces. The term 'Cartan connection' most often refers to Cartan's formulation of a (pseudo-)Riemannian, affine, projective...

method, which is a refinement of Élie Cartan's method of moving frames, gives several new powerful tools for finding and classifying the equivalence and...

is called a higher order G-structure [Kobayashi]. In general, Cartan's equivalence method applies to such cases. G2-structure Which is a Lie group G →...

Einstein–Cartan theory seems to allow gravitational shielding and the oscillation of massless neutrinos without violating the equivalence principle....

equations, as well as well the theories of moving frames and Cartan's equivalence method, differential invariants and pseudogroups. He has also contributed...

associated exterior differential system. We can frequently apply Cartan's equivalence method to exterior differential systems to study their symmetries and...

The equivalence moving frames method was introduced by E. Cartan to solve the equivalence problems on submanifolds under the action of a transformation...

obvious whether they are locally isometric. Élie Cartan, using his exterior calculus with his method of moving frames, showed that it is always possible...

In mathematics, the orbit method (also known as the Kirillov theory, the method of coadjoint orbits and by a few similar names) establishes a correspondence...

global analysis. In particular, she worked on G-structures and Cartan's equivalence method, Lie groupoids and Lie pseudogroups, higher-order connections...

B\to A\oplus B\to A\to 0.} There is a one-to-one correspondence between equivalence classes of extensions of A by B and elements of Ext1 R(A, B). This can...

also made important contributions to quantum mechanics. His mass–energy equivalence formula E = mc2, which arises from special relativity, has been called...

defined as their dot product. So the equivalence of the two definitions of the dot product is a part of the equivalence of the classical and the modern formulations...

introduced in 1929 by Élie Cartan to study the topology of Lie groups and homogeneous spaces by relating cohomological methods of Georges de Rham to properties...

https://arxiv.org/abs/0807.3161. Sharpe, Richard W. (1997) Differential geometry: Cartan's generalization of Klein's Erlangen program Vol. 166. Springer. Heinrich...

Theories. Cartan's theory is particularly interesting both because it is a non-metric theory and because it is so old. The status of Cartan's theory is...

spaces up to homeomorphism, though usually most classify up to homotopy equivalence. Although algebraic topology primarily uses algebra to study topological...

the groups of Laguerre and Lorentz was posthumously published in 1955 in Cartan's collected papers, and was reprinted in the Encyclopédie in 1991.) Kastrup...

representation determines its composition factors but not, in general, its equivalence type. The irreducible Brauer characters are those afforded by the simple...

to Cartan about his situation, to which Cartan sent him a box of his reprints. Chern spent a considerable amount of time pondering over Cartan's papers...