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The Differential Geometry of Lagrangians which Generate Sprays

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Lagrange and Finsler Geometry

Part of the book series: Fundamental Theories of Physics ((FTPH,volume 76))

Abstract

The geometry of regular Lagrangians provides useful differential geometric models for a variety of fields, including variational calculus, electromagnetic theory, general relativity and relativistic optics, [MA]. Although the general theory of Lagrange differential geometry has been fully developed, only the so-called almost Finsler Lagrangians have been studied for purposes of applications until now. In the present paper, another class of Lagrangians, which arise in biology, are studied from a purely geometrical point-of-view, [MA].

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References

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© 1996 Springer Science+Business Media Dordrecht

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Anastasiei, M., Antonelli, P.L. (1996). The Differential Geometry of Lagrangians which Generate Sprays . In: Antonelli, P.L., Miron, R. (eds) Lagrange and Finsler Geometry. Fundamental Theories of Physics, vol 76. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8650-4_2

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  • DOI: https://doi.org/10.1007/978-94-015-8650-4_2

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-4656-7

  • Online ISBN: 978-94-015-8650-4

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