Geodesics and isometries of Carnot groups
type: Item
instance of: scholarly article
title: Geodesics and isometries of Carnot groups
zbMATH Open document ID: 1060.53039
author: Iwao Kishimoto
published in: Journal of Mathematics of Kyoto University
publication date: 2004-12-29T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 53C17
Mathematics Subject Classification ID: 57S25
Mathematics Subject Classification ID: 53C22
zbMATH DE Number: 2124050
zbMATH Keywords: sub-Riemannian manifolds
zbMATH Keywords: geodesics
zbMATH Keywords: nilpotent Lie groups
zbMATH Keywords: Carnot groups
reviewed by: I. A. Taimanov
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1215/kjm/1250283693
OpenAlex ID: W1954058131
DOI: 10.1215/KJM/1250283693
description: scientific article; zbMATH DE number 2124050