Abstract
We obtain equations of geodesic lines in the Lie group Sol and prove that the ideal boundary of the Sol is a set $\mathcal{R} = \{(x, y, z)| xy = 0,\text{ and } x^{2} +y^{2}+z^{2} = 1\}$ with a degenerate Tits metric, i.e., the distance between different points equals $\infty$.
Citation
Sungwoon Kim. "The ideal boundary of the Sol group." J. Math. Kyoto Univ. 45 (2) 257 - 263, 2005. https://doi.org/10.1215/kjm/1250281989
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