nLab Pfaffian equation

Exterior differential systems and, in particular, Pfaffian equations

• J.F. Pfaff, Berl. Abh. (1814–1815) pp. 76–135
• Springer eom, Pfaffian equation article
• E. Berger, R. L. Bryant, P. A. Griffiths, The Gauss equations and rigidity of isometric embeddings, Duke Math. J. 50 (1983), 803–892 pdf
• Robert Bryant, Phillip Griffiths, Daniel Grossman, Exterior differential systems and Euler-Lagrange partial differential equations, Chicago Lectures in Mathematics 2003, 205+xiv pp. math.DG/0207039 bookpage
• R. L. Bryant, S. S. Chern, R. B. Gardner, H. Goldschmidt, P. A. Griffiths, Exterior differential systems, MSRI Publications, Springer, pdf
• P. A. Griffiths, Exterior differential systems and the calculus of variations, Progress in Math. 25, Birkhauser 1983
• R. B. Gardner, Invariants of Pfaffian systems, Trans. Amer. Math. Soc. 126 (1967) 514–533.
• R. L. Bryant, P. A. Griffiths, D. Yang, Characteristics and existence of isometric embeddings, Duke Math. J. 50 (1983), 893–994
• Phillip A. Griffiths, Gary R. Jensen, Differential systems and isometric embeddings, Annals of Math. Studies 114, 1987, 238 pages gBooks
• T. Ivey, J. M. Landsberg, Cartan for beginners: differential geometry via moving frames and exterior differential systems, American Mathematical Society
• Paul Popescu, A Lagrangian form of Pfaff forms, arxiv/1212.4873
• Pfaffian equations, Bobby’s notes
• Lev Elsgolts, Differential equations and the calculus of variations, pdf