High Quality Content by WIKIPEDIA articles! Robert Bryant is an American mathematician specializing in differential geometry. As of 2007, he has served as the chairman of the Mathematical Sciences Research Institute (MSRI). He is known for his work in exterior differential systems, special holonomy, and Finsler geometry. In mathematics, certain systems of partial differential equations are usefully formulated, from the point of view of their underlying geometric and algebraic structure, in terms of a system of differential forms. The idea is to take advantage of the way a differential form restricts to a submanifold, and the fact that this restriction is compatible with the exterior derivative. This is one possible approach to certain over-determined systems, for example. A Pfaffian system is one specified by 1-forms alone, but the theory includes other types of example of differential system.

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