Geodesics and isometries of Carnot groups
Kishimoto, Iwao
J. Math. Kyoto Univ., Tome 43 (2003) no. 4, p. 509-522 / Harvested from Project Euclid
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We will investigate geodesics in 2-step Carnot groups. And, by applying this, we will prove that every isometry of 2-step Carnot group $N$ fixing the identity is an automorphism of Lie group $N$. Our argument will be elementary. ¶ Finally, we will see that the same conclusion holds for general Carnot groups.
Publié le : 2003-05-15
Classification:  53C17,  53C22 
@article{1250283693,
     author = {Kishimoto, Iwao},
     title = {Geodesics and isometries of Carnot groups},
     journal = {J. Math. Kyoto Univ.},
     volume = {43},
     number = {4},
     year = {2003},
     pages = { 509-522},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1250283693}
}

Kishimoto, Iwao. Geodesics and isometries of Carnot groups. J. Math. Kyoto Univ., Tome 43 (2003) no. 4, pp.  509-522. http://gdmltest.u-ga.fr/item/1250283693/