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The Hamilton-Jacobi analysis of three dimensional gravity defined in terms ofAshtekar-like variables is performed. We report a detailed analysis where thecomplete set of Hamilton-Jacobi constraints, the characteristic equations andthe gauge transformations of the theory are found. We find from integrabilityconditions on the Hamilton-Jacobi Hamiltonians that the theory is reduced to a$BF$ field theory defined only in terms of self-dual (or anti-self-dual)variables; we identify the dynamical variables and the counting of physicaldegrees of freedom is performed. In addition, we compare our results with thosereported by using the canonical formalism.

The Hamilton-Jacobi characteristic equations for three dimensional Ashtekar gravity