Exterior differential systems. (English) Zbl 0516.58003

Bryant, Robert L.; Chern, Shiing-shen; Griffiths, Phillip A.

Differential geometry and differential equations, Proc. 1980 Beijing Sympos., Vol. 1, 219-338 (1982).

MSC:

58A15	Exterior differential systems (Cartan theory)
35A10	Cauchy-Kovalevskaya theorems
53B25	Local submanifolds
58-02	Research exposition (monographs, survey articles) pertaining to global analysis
58A17	Pfaffian systems
53A05	Surfaces in Euclidean and related spaces
53C40	Global submanifolds

Keywords:

Cauchy characteristics; molding surfaces; Cartan-Kaehler existence theorem; Schlaefli-Cartan local isometric imbedding theorem; Cartan- Kuranishi prolongation theorem