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A variational problem for curves on Riemann-Finsler surfaces

We study the variational problem for \(N\)-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...

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Bibliographic Details
Published in:arXiv.org 2015-02
Main Authors: Sabau, Sorin V, Shibuya, Kazuhiro
Format: Article
Language:English
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Summary:We study the variational problem for \(N\)-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.
ISSN:2331-8422