Geodesics and isometries of Carnot groups
The author proves that an isometry of a two-step Carnot group which fixes the identity is an automorphism of the nilpotent Lie group and derives from previously known results that the same holds for all Carnot groups, i.e. nilpotent Lie groups with left-invariant sub-Riemannian metrics.
scientific article; zbMATH DE number 2124050