List of things named after Élie Cartan

These are things named after Élie Cartan (9 April 1869 – 6 May 1951), a French mathematician.

Mathematics and physics

 * Cartan calculus
 * Cartan connection, Cartan connection applications
 * Cartan's criterion
 * Cartan decomposition
 * Cartan's equivalence method
 * Cartan formalism (physics)
 * Cartan involution
 * Cartan's magic formula
 * Cartan relations
 * Cartan map
 * Cartan matrix
 * Cartan pair


 * Cartan subalgebra
 * Cartan subgroup
 * Cartan's method of moving frames
 * Cartan's theorem, a name for the closed-subgroup theorem
 * Cartan's theorem, a name for the theorem on highest weights
 * Cartan's theorem, a name for Lie's third theorem
 * Einstein–Cartan theory
 * Einstein–Cartan–Evans theory
 * Cartan–Ambrose–Hicks theorem
 * Cartan–Brauer–Hua theorem
 * Cartan–Dieudonné theorem
 * Cartan–Hadamard manifold
 * Cartan–Hadamard theorem
 * Cartan–Iwahori decomposition
 * Cartan-Iwasawa-Malcev theorem
 * Cartan–Kähler theorem
 * Cartan–Karlhede algorithm
 * Cartan–Weyl theory
 * Cartan–Weyl basis
 * Cartan–Killing form
 * Cartan–Kuranishi prolongation theorem
 * CAT(k) space
 * Maurer–Cartan form
 * Newton–Cartan theory
 * Stokes–Cartan's theorem, the generalized fundamental theorem of calculus, proven by Cartan (in its general form), also known as Stokes' theorem although Stokes neither formulated nor proved it.

Other

 * Cartan (crater)
 * Élie Cartan Prize

Note some are after Henri Cartan, a son of É. Cartan; e.g.,
 * Cartan's lemma (potential theory)
 * Cartan seminar
 * Cartan's theorems A and B
 * Cartan–Eilenberg resolution