Courant Bracket - Dorfman Bracket

Dorfman Bracket

In 1987 Irene Dorfman introduced the Dorfman bracket _D, which like the Courant bracket provides an integrability condition for Dirac structures. It is defined by

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The Dorfman bracket is not antisymmetric, but it is often easier to calculate with than the Courant bracket because it satisfies a Leibniz rule which resembles the Jacobi identity