An existence theorem for G-structure preserving affine immersions
Differential Geometry
2007-05-23 v1
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.
Cite
@article{arxiv.math/0610703,
title = {An existence theorem for G-structure preserving affine immersions},
author = {Paolo Piccione and Daniel V. Tausk},
journal= {arXiv preprint arXiv:math/0610703},
year = {2007}
}
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31 pages