An existence theorem for G-structure preserving affine immersions

Details An existence theorem for G-structure preserving affine immersions An existence theorem for G-structure preserving affine immersions

2006-10-23

arxiv.org/abs/math/0610703v1

Mathematics

Differential Geometry

31 pages

Scientific paper

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.

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