Abstract
Some fundamental concepts and basic facts are summarized first for convenience and in order to fix the terminology, also to do slight adjustments of some standard concepts with respect to their subsequent applications. Smooth will mean class C°° in what follows.
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References
Bochner, S. and Montgomery, D.: Locally compact groups of differentiable transformations. Ann. of Math. 47(1947), 639–653.
Busemann H.: On normal coordinates in Finsler spaces. Math. Ann. 129(1955), 417–423.
Chevalley, C. and Eilenberg, S.: Cohomology theory of Lie groups and Lie algebras. Trans. Amer. Math. Soc. 63(1948), 85–124.
Dugundji, J.: Topology. Boston, 1966.
Godbillon, C.: Géometrié Différentielle et Mécanique Analytique. Paris, 1969.
Gromoll, D., Klingenberg, W., Meyer, W.: Riemannsche Geometrie im Grossen. Berlin, Heidelberg, New York, 1968.
Morandi, G., Ferrario, C., Lo Vecchio, G., Marmo, G., Rubano, C.: The inverse problem in the calculus of variations and the geometry of the tangent bundle. Physics Reports 188(1990), 147–284.
Szenthe J.: Lagrangians and sprays. Ann. Univ. Sci. Budapest. 35(1992) 103–107.
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© 1996 Kluwer Academic Publishers
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Szenthe, J. (1996). Symmetries of sprays and admissible Lagrangians. In: Tamássy, L., Szenthe, J. (eds) New Developments in Differential Geometry. Mathematics and Its Applications, vol 350. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-0149-0_31
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DOI: https://doi.org/10.1007/978-94-009-0149-0_31
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-6553-5
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