An existence theorem for $G$-structure preserving affine immersions Paolo Piccione 53A1553B0553C1053C40$G$-structuresaffine immersions We prove an existence result for local and global $G$-structure preserving affine immersions between affine manifolds. Several examples are discussed in the context of Riemannian and semi-Riemannian geometry, including the case of isometric immersions into Lie groups endowed with a left-invariant metric, and the case of isometric immersions into products of space forms. Indiana University Mathematics Journal 2008 text pdf 10.1512/iumj.2008.57.3281 10.1512/iumj.2008.57.3281 en Indiana Univ. Math. J. 57 (2008) 1431 - 1466 state-of-the-art mathematics http://iumj.org/access/