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p-Geodesic transformations and their groups in second-order tangent bundles induced by concircular transformations of bases

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Ukrainian Mathematical Journal Aims and scope

We investigate the flattening properties of the Lie group G r II of transformations of a second-order tangent bundle T 2(M) equipped with the lift ∇II of an affine connection ∇ and the lift g II of a metric g on the base of M induced by the Lie group G r of concircular transformations of the base of M. The obtained results reveal certain geometric features of the induced group G r II within the framework of the theory of p-geodesic mappings.

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Authors and Affiliations

  1. Odessa National University, Odessa, Ukraine

    K. M. Zubrilin

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  1. K. M. Zubrilin
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 61, No. 3, pp. 346–364, March, 2009.

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Zubrilin, K.M. p-Geodesic transformations and their groups in second-order tangent bundles induced by concircular transformations of bases. Ukr Math J 61, 414–434 (2009). https://doi.org/10.1007/s11253-009-0218-9

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  • DOI: https://doi.org/10.1007/s11253-009-0218-9

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