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On Preservation of the Order of Flattening by an Induced Diffeomorphism

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Ukrainian Mathematical Journal Aims and scope

We consider the structure of a smooth curve from the viewpoint of the concept of flattening and establish conditions under which an r-geodesic curve of the base manifold is the projection of the r-geodesic curve in a tangent bundle of the second order. The necessary and sufficient condition under which a 2-geodesic diffeomorphism of affine-connected spaces induces a 2-geodesic diffeomorphism of tangent bundles of the second order is established.

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Authors and Affiliations

  1. Feodosiya Polytechnic Institute of the Admiral Makarov National University of Shipbuilding, Feodosiya, Ukraine

    K. M. Zubrilin

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  1. K. M. Zubrilin
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 65, No. 11, pp. 1482–1497, November, 2013.

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Zubrilin, K.M. On Preservation of the Order of Flattening by an Induced Diffeomorphism. Ukr Math J 65, 1642–1660 (2014). https://doi.org/10.1007/s11253-014-0886-y

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  • DOI: https://doi.org/10.1007/s11253-014-0886-y

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