A variational problem for curves on Riemann-Finsler surfaces

Published 21 Jul 2014 in math.DG | (1407.5511v2)

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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