On isotropic sub-Riemannian contact manifolds
type: Item
instance of: scholarly article
title: On isotropic sub-Riemannian contact manifolds
zbMATH Open document ID: 1058.53023
author: Abdol-Reza Mansouri
published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris
publication date: 2004-08-20T00:00:00Z
review text: The article concerns the structure of the largest possible group of automorphisms of contact structures equipped with an additional Riemannian metric, so-called sub-Riemannian contact manifolds. The author states the structure equations involving certain structure functions (the torsion coefficients) and proves that they cannot be all constant if the dimension of the underlying manifold is greater than 3. In other terms: isotropic contact sub-Riemannian manifolds of dimension greater then 3 do not exist.
Mathematics Subject Classification ID: 53C17
Mathematics Subject Classification ID: 53D10
zbMATH DE Number: 2094016
zbMATH Keywords: sub-Riemannian manifold
zbMATH Keywords: contact structure
zbMATH Keywords: isotropic submanifolds
reviewed by: Jan Chrastina
MaRDI profile type: Publication
full work available at URL: j.crma.2004.04.009
OpenAlex ID: W2099900789
cites work: On contact sub-riemannian symmetric spaces
cites work: Q4892958
cites work: Q3995740
cites work: A tour of subriemannian geometries, their geodesics and applications
DOI: 10.1016/J.CRMA.2004.04.009
description: scientific article; zbMATH DE number 2094016