Abstract
We give a classification of parallel surfaces in the groups of rigid motions of Minkowski plane and Euclidean plane, equipped with a general left-invariant metric. Our result completes the classification of parallel surfaces in the eight three-dimensional model geometries of Thurston and in three-dimensional unimodular Lie groups with maximal isometry group.
Citation
Jun-ichi Inoguchi. Joeri Van der Veken. "Parallel surfaces in the motion groups $E(1,1)$ and $E(2)$." Bull. Belg. Math. Soc. Simon Stevin 14 (2) 321 - 332, June 2007. https://doi.org/10.36045/bbms/1179839224
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