Abstract

A class of exact solutions to the Born-Infeld field equations, over manifolds of any even dimension, is constructed. They are an extension of the self-dual configurations. They are local minima of the action for Riemannian base manifolds and local minima of the Hamiltonian for pseudo Riemannian ones. A general explicit expression for the Born-Infeld determinant is obtained, for any dimension of space-time.