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
Undergraduate Texts in Mathematics
Graduate Studies in Mathematics
Hellenica World - Scientific Library
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