The 2-Cotangent Bundle with Berwald-Moor Metric
2005jbp | Gheorghe Atanasiu, Vladimir Balan  // Transilvania University, Brasov, Romania; University Politehnica of Bucharest, Department Mathematics I, Romania

On the total space of the dual bundle $(T^{\ast 2}M,\pi ^{\ast 2},M)$ of the $2-$tangent bundle $(T^{2}M, \pi ^{2},M)$, the paper develops results related to the notions: of nonlinear connection, distinguished tensor fields, almost contact structure, Riemannian structures, $N-$linear connections and associated convariant derivations. The Ricci identities are derived and the local expressions of the corresponding $d-$tensors of torsion and curvature are provided. Further, the metric structures and the metric $N-$linear connections are studied, and the obtained results are specialized to the case when the metric tensor field is of Berwald-Moor type.

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