Adjacency preserving mappings on real symmetric matrices

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Let $S_{n}$ denote the space of all $n \times n$ real symmetric matrices. For n=2 or n>2 we characterize maps F from $S_{n}$ to $S_{m}$ which preserve adjacency, i.e. if rank(A-B)=1, then rank(F(A)-F(B))=1.
Latex, 20 pages

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Rings and Algebras, Metric Geometry, 15A03, 15A04, 15A30, 15A57, 16S50, 16W10, 17A15, 17C55

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http://salesiana.dossiersoluciones.com/handle/123456789/142202

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0711.2413
 http://arxiv.org/abs/0711.2413

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arXiv