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arXiv · 1609.07778

On certain generalized isometries of the special orthogonal group

Marcell Gaál
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Abstract

In this paper we explore the structure of certain generalized isometries of the special orthogonal group $SO(n)$ which are transformations that leave any member of a large class of generalized distance measures invariant. This gives us a far-reaching generalization of the former structural result of T. Abe, S. Akiyama and O. Hatori concerning $c$-spectral isometries of the special orthogonal group.

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Marcell Gaál. 2016-09-25. On certain generalized isometries of the special orthogonal group. https://arxiv.org/abs/1609.07778

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