On almost contact Finsler structures on vector bundles (Q1100750)

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scientific article; zbMATH DE number 4044684
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English
On almost contact Finsler structures on vector bundles
scientific article; zbMATH DE number 4044684

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    On almost contact Finsler structures on vector bundles (English)
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    1988
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    Let \(V(M)=(V,\pi,M)\) be a vector bundle, N a nonlinear connection on the total space V, and \(\nabla\) a Finsler connection on V (i.e. \(\nabla\) is a d-linear connection on V). Using \(\nabla\), an almost contact Finsler structure \(\phi\) and an almost contact Finsler connection \(\nabla\) are defined on V. The existence of \(\nabla\) is studied. Finally, the group of transformations of almost contact Finsler connections are obtained.
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    vector bundle
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    nonlinear connection
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    Finsler connection
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    almost contact Finsler structure
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