An existence theorem for G-structure preserving affine immersions

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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.
31 pages

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Differential Geometry, 53A15; 53B05; 53C10; 53C40

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http://salesiana.dossiersoluciones.com/handle/123456789/118076

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0610703
 http://arxiv.org/abs/math/0610703

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arXiv