See also: Cartan's lemma
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 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
- 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–Killing form
- Cartan–Kuranishi prolongation theorem
- CAT(k) space
- Maurer–Cartan form
- Newton–Cartan theory
- Stokes–Cartan 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
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