Abstract
The notion of second order Lagrange space is a natural extension of the notion of Lagrange space L n = (M, L) introduced in the §6, Ch.1. The second order Lagrange space is defined as a pair L (2)n = (M, L) where M is a real n-dimensional manifold and L is a differentiable regular Lagrangian of second order, whose fundamental tensor field has a constant signature on Ẽ.
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© 1997 Springer Science+Business Media Dordrecht
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Miron, R. (1997). Second Order Lagrange Spaces. In: The Geometry of Higher-Order Lagrange Spaces. Fundamental Theories of Physics, vol 82. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-3338-0_5
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DOI: https://doi.org/10.1007/978-94-017-3338-0_5
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-4789-2
Online ISBN: 978-94-017-3338-0
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