Biharmonic Hopf cylinders

DOI10.1216/rmjm/1181071748zbMath0980.53069OpenAlexW2034023579MaRDI QIDQ1293507

Pascual Lucas, Ángel Nepomuceno-Fernández, Miguel Angel Meroño

Publication date: 6 March 2002

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://math.la.asu.edu/~rmmc/rmj/RMJ28-3/cont28-3/cont28-3.html

zbMATH Keywords

LaplacianJacobi operatorbiharmonic submanifoldselliptic differential operatorselastic curvesharmonic mean curvature vector fieldindefinite space formsindefinite Cornu spiralsJacobi mean curvature vector fieldLorentzian Willmore torisemi-Riemannian Hopf cylinders

Mathematics Subject Classification ID

Global submanifolds (53C40) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Related Items

Classification of f-biharmonic curves in Lorentz-Minkowski space ⋮ Slant Curves and Magnetic Curves ⋮ Unnamed Item ⋮ Killing submersions and magnetic curves ⋮ Almost contact curves in normal almost contact 3-manifolds ⋮ Biharmonic lifts by means of pseudo-Riemannian submersions in dimension three

Cites Work

• The total squared curvature of closed curves
• Hopf tori in \(S^ 3\)
• 2-type surfaces in \(S_ 1^ 3\) and \(H_ 1^ 3\)
• Minimal varieties in Riemannian manifolds
• On Submanifolds with Harmonic Mean Curvature
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