Abstract
Let $H^{m}$ be a Heisenberg group provided with a norm $\rho$. A mapping $f:H^{m}\rightarrow H^{m}$ is called preserving the distance $n$ if for all $x,y$ of $H^{m}$ with $\rho(x^{-1}y)=n$ then $\rho(f(x)^{-1}f(y))=n$. We obtain some results for the Aleksandrov problem in the Heisenberg group.
Citation
J.M. Rassias. A. Charifi. Ab. Chahbi. S. Kabbaj. "Mappings preserving unit distance on Heisenberg group." Tbilisi Math. J. 8 (2) 131 - 137, December 2015. https://doi.org/10.1515/tmj-2015-0016
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