Abstract
The geometry of the manifold TM, the total space of the tangent bundle over a smooth manifold M is very rich. This manifold carries a lot of interesting geometrical structures, which were intensively studied (see Yano, K. and Ishihara, S.[168] and the references therein). The development of the Finsler geometry brought in this field new ideas especially that of using systematically a non-linear connection in the tangent bundle(TM,T,M). Also, a possibility to think the Finsler geometry as a subgeometry of the geometry of TM has appeared. This point of view on Finsler geometry, that allowed new approaches of its generalisations and applications, was clarified by R. Miron [103,104], M. Anastasiei [9], I. Popovici and M. Anastasiei [129].
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© 1994 Springer Science+Business Media Dordrecht
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Miron, R., Anastasiei, M. (1994). Geometry of the Total Space of a Tangent Bundle. 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_7
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DOI: https://doi.org/10.1007/978-94-011-0788-4_7
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-4338-0
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