The Euler-Lagrange Method for Biharmonic Curves

• Autores: Renzo Caddeo, Stefano Montaldo , Cezar Oniciuc, Paola Piu
• Localización: Mediterranean journal of mathematics, ISSN 1660-5446, Vol. 3, Nº. 3-4, 2006, págs. 449-465
• Idioma: inglés
• DOI: 10.1007/s00009-006-0090-x
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• Resumen

  • In this article we consider the Euler-Lagrange method associated to a suitable bilagrangian to study biharmonic curves of a Riemannian manifold. We apply this method to characterize biharmonic curves of the three-dimensional Lie group Sol. We also classify, using a geometric method, the biharmonic curves of the three-dimensional Cartan-Vranceanu manifolds.