Abstract
In this chapter we shall study the general principles of the geometry of subspaces in a Lagrange space of order k, L (k)n = (M, L). The main geometrical object fields associated to the space L (k)n determine the corresponding induced geometrical object fields on a submanifold of M and Osc k of Osc k M. Thus, we obtain the induced nonlinear connection, the induced cannonical metrical connection, and, of course, the Gauss-Codazzi equations.
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© 1997 Springer Science+Business Media Dordrecht
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Miron, R. (1997). Subspaces in Higher 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_11
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DOI: https://doi.org/10.1007/978-94-017-3338-0_11
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-4789-2
Online ISBN: 978-94-017-3338-0
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