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arXiv · 2106.12019

Length-Preserving Directions and Some Diophantine Equations

Juan Tolosa
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Abstract

We study directions along which the norms of vectors are preserved under a linear map. In particular, we find families of matrices for which these directions are determined by integer vectors. We consider the two-dimensional case in detail, and also discuss the extension to the three-dimensional case.

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Juan Tolosa. 2021-06-22. Length-Preserving Directions and Some Diophantine Equations. https://doi.org/10.1080/00029890

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