title: Euler-Lagrange equations for variational problems on space curves.
abstract: We derive the Euler-Lagrange equations for a large class of variational problems on curves. Our result generalizes a recent result obtained in the literature. Moreover, it is simple and self-contained. It directly yields Euler-Lagrange equations in the form of equilibrium equations for the internal force and moment.
authors.affiliation: Department of Mathematical Sciences, University of Bath, Bath BA2 7AY, United Kingdom. p.hornung@bath.ac.uk
authors.forename: Peter
authors.initials: P
authors.lastname: Hornung