Titlebook: Exterior Differential Systems; Robert L. Bryant,S. S. Chern,P. A. Griffiths Book 1991 Springer-Verlag New York Inc. 1991 Canon.Lemma.Web.b

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0940-4740 r differential system is a system of equations on a manifold defined by equating to zero a number of exterior differential forms. When all the forms are linear, it is called a pfaffian system. Our object is to study its integral manifolds, i. e. , submanifolds satisfying all the equations of the sys

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Elements of Geometric Crystallography,mber of examples of characteristic varieties, discuss some of their elementary properties, and shall state a number of remarkable theorems concerning characteristic varieties of involutive differential systems. The proofs of most of the results rely on certain commutative algebra properties of involutive tableaux and will be given in Chapter VIII.

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,Cartan-K?hler Theory, integral manifolds of appropriate exterior differential systems. Moreover, in differential geometry, particularly in the theory and applications of the moving frame and Cartan’s method of equivalence, the problems to be studied often appear naturally in the form of an exterior differential system a

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The Characteristic Variety,mportant a role in the theory of differential systems as that played by the usual characteristic variety in classical RD.E. theory. We shall give a number of examples of characteristic varieties, discuss some of their elementary properties, and shall state a number of remarkable theorems concerning

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Partial Differential Equations,n-linear, as it has been developed over the last twenty five years. Rather than giving complete proofs, we have preferred in general to present many examples illustrating the various methods used in the theory.

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