Cartan's theorem

Cartan's theorem stands for the following mathematical theorems:

named after Elie Cartan:

• Cartan's theorem (Lie groups) about closed subgroups of Lie groups
• Cartan-Hadamard's theorem on manifolds of non-positive section curvature
• Lie-Cartan's theorem on simply connected Lie groups, see Lie's theorems # Lie's theorems
• Cartan's theorem on the uniqueness of a Riemannian metric, see Cartan-Ambrose-Hicks theorem #Cartan's theorem

named after Henri Cartan:

• Theorem B of Henri Cartan about coherent sheaves on Stein's spaces, see sheaf cohomology #Complex Analysis
• Cartan-Serre's finiteness theorem about cohomology groups of sheaves on compact spaces, see Sheaf cohomology #Complex Analysis

This is a disambiguation page for differentiating between several terms identified with the same word.