List of things named after Élie Cartan

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

• Cartan calculus
• Cartan connection, Cartan connection applications
• Cartan's criterion
• Cartan's equivalence method
• Cartan formalism (physics)
• Cartan involution
• Cartan's magic formula
• Cartan matrix
• Cartan subalgebra
• Cartan subgroup
• 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 theorem
• Cartan–Iwahori decomposition
• Cartan–Kähler theorem
• Cartan–Karlhede algorithm
• 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.

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