Geodesics with constraints on Heisenberg manifolds
type: Item
instance of: scholarly article
title: Geodesics with constraints on Heisenberg manifolds
zbMATH Open document ID: 1043.37046
DOI: 10.1007/BF03322912
author: Ovidiu Calin
author: Vittorio Mangione
published in: Results in Mathematics
publication date: 2004-03-25T00:00:00Z
review text: This paper is mainly devoted to give a qualitative description of the solutions to Euler-Lagrange equations with nonholonomic constraints. The geometry of the Heisenberg manifold, which appears in a natural way in some applications concerning magnetic resonance, plays a relevant role. In particular, using the structure of the Heissenberg group, the authors characterize the solutions as geodesics for a certain metric. Furthermore, the analog of the Gauss formula for the Heisenberg group is also given.
reviewed by: N. Román-Roy
Mathematics Subject Classification ID: 37J60
Mathematics Subject Classification ID: 53B21
Mathematics Subject Classification ID: 70H03
zbMATH DE Number: 2062000
zbMATH Keywords: Ricci
zbMATH Keywords: Riemannn
zbMATH Keywords: curvature
zbMATH Keywords: geodesics
zbMATH Keywords: Levi-Civita connection
zbMATH Keywords: Heisenberg group
zbMATH Keywords: nonholonomic dynamical systems
MaRDI profile type: Publication
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Wikidata QID: Q125822575
description: scientific article; zbMATH DE number 2062000