Cartan, Elie (Joseph)[kah(r)tã]
Mathematician, born in Dolomieu, SE France. He held posts at Montpellier, Lyon, and (1912--40) the Sorbonne, becoming one of the most original mathematicians of his time. He worked on Lie groups and differential geometry, and founded the subject of analysis on differentiable manifolds, which is essential to modern fundamental physical theories. Among his discoveries are the theory of spinors, the method of moving frames and the exterior differential calculus. His son, Henri-(Paul) Cartan (1904-- ) also became a mathematician, known for his work in the theory of analytic functions.