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A VARIATIONAL PROBLEM FOR CURVES ON FINSLER SURFACES
Published online by Cambridge University Press: 13 May 2016
Abstract
We study the variational problem for $N$-parallel curves on a Finsler 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.
MSC classification
- Type
- Research Article
- Information
- Journal of the Australian Mathematical Society , Volume 101 , Issue 3 , December 2016 , pp. 418 - 430
- Copyright
- © 2016 Australian Mathematical Publishing Association Inc.
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