  We develop a Born-Infeld type theory for gravity in any dimension. We show
that in four dimensions our formalism allows a self-dual (or anti-self dual)
Born-Infeld gravity description. Moreover, we show that such a self-dual action
is reduced to both the Deser-Gibbons and the Jacobson-Smolin-Samuel action of
Ashtekar formulation. A supersymmetric generalization of our approach is
outlined.
