Abstract
In this paper we will study the variational problem in the almost Finslerian Lagrange space of second order with (α, β) metrics.The differential equation for energy along the extremal curves of Euler-Lagrange equations we will given.
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References
Miron, R. and Anastasiei, M., The Geometry of Lagrange Space. Theory and Applications, Kluwer Academic Publishers, No. 49, 1994.
Miron, R., Hrimiuc, D., Shimada, D., and Sabău, S., The Geometry of Hamilton and Lagrange Space, Kluwer Academic Publishers, No. 118, 2001.
Miron, R., The Geometry of Higher-Order Lagrange Spaces. Applications to Mechanics and Physics, Kluwer Academic Publishers, 1997.
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Sterbeţi, C., Nicolaescu, B. (2003). On the Almost Finslerian Lagrange Space of Second Order with (α, β) Metric. In: Anastasiei, M., Antonelli, P.L. (eds) Finsler and Lagrange Geometries. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-0405-2_22
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DOI: https://doi.org/10.1007/978-94-017-0405-2_22
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-6325-0
Online ISBN: 978-94-017-0405-2
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