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Almost para-contact Finsler connections on vector bundle. (English) Zbl 0836.53022

Let \((E, \pi, M)\) be a \(C^\infty\)-vector bundle and \(N\) a nonlinear connection given on the manifold \(E\). Assuming that with respect to \(N\) a Finsler almost para-contact structure \((J, \eta, \xi)\) can be defined on \(E\), the authors study the set of all Finsler connections compatible with the structure \((J, \eta, \xi)\). They determine the group of transformations of these connections.
Reviewer: R.Miron (Iaşi)

MSC:

53C15 General geometric structures on manifolds (almost complex, almost product structures, etc.)
53C60 Global differential geometry of Finsler spaces and generalizations (areal metrics)
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