Explore: Exterior Differential Systems (cartan Theory)

Mathematics portal Exterior derivative Integrability conditions for differential systems Isotropic line CAT(k) space Einstein – Cartan theory Hermitian symmetric

Ivey, T., Landsberg, J.M., Cartan for Beginners: Differential Geometry via Moving Frames and Exterior Differential Systems, American Mathematical Society

the whole area of ordinary differential equations. According to Thomas W. Hawkins Jr., it was Élie Cartan that made Lie theory what it is: While Lie had

was first described in its current form by Élie Cartan in 1899. The resulting calculus, known as exterior calculus, allows for a natural, metric-independent

In the mathematical field of differential geometry, a Cartan connection is a flexible generalization of the notion of an affine connection. It may also

In mathematics, Cartan's equivalence method is a technique in differential geometry for determining whether two geometrical structures are the same up

the mathematical field of differential geometry, the exterior covariant derivative is an extension of the notion of exterior derivative to the setting

derivative exterior covariant derivative Levi-Civita connection parallel transport Development (differential geometry) connection form Cartan connection

higher-dimensional manifolds. The modern notion of differential forms was pioneered by Élie Cartan. It has many applications, especially in geometry,

Cartan–Kähler theorem is a major result on the integrability conditions for differential systems, in the case of analytic functions, for differential