A variational problem for curves on Riemann-Finsler surfaces
classification
🧮 math.DG
keywords
curvesproblemvariationalconditionsdifferentialequationseuler-lagrangeexplicit
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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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