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arXiv · 1407.5511

A variational problem for curves on Riemann-Finsler surfaces

Sorin V. Sabau·Kazuhiro Shibuya
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Abstract

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.

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Sorin V. Sabau, Kazuhiro Shibuya. 2014-07-21. A variational problem for curves on Riemann-Finsler surfaces. https://arxiv.org/abs/1407.5511

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