A variational problem for curves on Riemann-Finsler surfaces
Differential Geometry
2015-02-26 v2
Abstract
We study the variational problem for -parallel curves on a Finslerian surface by means of Exterior Differential Systems using Griffiths' method. We obtain the conditions when these curves are extremals of a length functional and write the explicit form of Euler-Lagrange equations for this type of variational problem.
Keywords
Cite
@article{arxiv.1407.5511,
title = {A variational problem for curves on Riemann-Finsler surfaces},
author = {Sorin V. Sabau and Kazuhiro Shibuya},
journal= {arXiv preprint arXiv:1407.5511},
year = {2015}
}