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

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