IUMJ

Title: An existence theorem for $G$-structure preserving affine immersions

Authors: Paolo Piccione and Daniel V. Tausk

Issue: Volume 57 (2008), Issue 3, 1431-1466

Abstract: 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.