Biharmonic curves on an invariant surface
type: Item
instance of: scholarly article
title: Biharmonic curves on an invariant surface
zbMATH Open document ID: 1167.53052
author: Stefano Montaldo
author: I. I. Onnis
published in: Journal of Geometry and Physics
publication date: 2009-04-03T00:00:00Z
review text: The paper studies biharmonic curves on a \(G_X\)-invariant surface \(M\subset N\), where \((N,g)\) is a three-dimensional manifold and \(X\) is a Killing vector field on \(N\). The authors generalize the results from [\textit{R. Caddeo, S. Montaldo} and \textit{P. Piu}, Rend. Mat. Appl., VII. Ser. 21, No. 1--4, 143--157 (2001; Zbl 1049.58020)], obtained for biharmonic curves on a surface of revolution, and provide the characterization of proper biharmonic orbits and derive the explicit description of proper biharmonic curves on an invariant surface with constant positive Gauss curvature.
reviewed by: Vladimir Balan
Mathematics Subject Classification ID: 53C43
Mathematics Subject Classification ID: 58E20
Mathematics Subject Classification ID: 53C40
zbMATH DE Number: 5539482
zbMATH Keywords: biharmonic curves
zbMATH Keywords: invariant surfaces
zbMATH Keywords: Heisenberg group
zbMATH Keywords: geodesic orbits
zbMATH Keywords: Gauss curvature
MaRDI profile type: Publication
full work available at URL: j.geomphys.2008.11.011
OpenAlex ID: W2042458946
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DOI: 10.1016/J.GEOMPHYS.2008.11.011
description: scientific article; zbMATH DE number 5539482