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On the nonlinear conncetion of a spray. - MaRDI portal

On the nonlinear conncetion of a spray. (Q1809927)

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scientific article; zbMATH DE number 1931324
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On the nonlinear conncetion of a spray.
scientific article; zbMATH DE number 1931324

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    On the nonlinear conncetion of a spray. (English)
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    2002
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    It is usually assumed that nonlinear connection in a tangent bundle is 1-homogeneous with respect to the tangent coordinates. If this condition is relaxed then it is possible to have spaces where the nonlinear connection of a spray is not the same as the nonlinear connection originally used to define that spray. The authors begin the exploration of spaces where this generalization may have nontrivial results.
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    Finsler spaces
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    Lagrange spaces
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    spray
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    nonlinear connection
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