The Euler-Lagrange method for biharmonic curves

被引：27

作者：

Caddeo, Renzo

Montaldo, Stefano

Oniciuc, Cezar

Piu, Paola

机构：

[1] Univ Cagliari, Dipartimento Matemat & Informat, I-09124 Cagliari, Italy

[2] Alexandru Ioan Cuza Univ, Fac Math, Iasi 700506, Romania

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2006年 / 3卷 / 3-4期

关键词：

harmonic and biharmonic maps; Euler-Lagrange; helices;

D O I：

10.1007/s00009-006-0090-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：449 / 465

页数：17

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