The Euler-Lagrange method for biharmonic curves

CADDEO, RENZO ILARIO;MONTALDO, STEFANO;ONICIUC C;PIU, MARIA PAOLA

2006-01-01

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Abstract

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.