Abstract
The Lagrange spaces were introduced by J. Kern [82] in order to geometrize a fundamental concept in mechanics, that of Lagrangian. A Lagrange spaceLn = (M,L(x,y)) is defined as a pair which consists of a real, smooth n-dimensional manifold M and a regular Lagrangian L:TM→R. It comes out that a Finsler space is a Lagrange space, but not conversely since the Lagrangian L may be not homogeneous with the respect to the variables (yi),i=1,2,...,n.
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© 1994 Springer Science+Business Media Dordrecht
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Miron, R., Anastasiei, M. (1994). Lagrange Spaces. In: The Geometry of Lagrange Spaces: Theory and Applications. Fundamental Theories of Physics, vol 59. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-0788-4_9
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DOI: https://doi.org/10.1007/978-94-011-0788-4_9
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-4338-0
Online ISBN: 978-94-011-0788-4
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