2018
Том 70
№ 4

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

Zubrilin K. M.

Abstract

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.

English version (Springer): Ukrainian Mathematical Journal 61 (2009), no. 3, pp 414-434.

Citation Example: Zubrilin K. M. p-Geodesic transformations and their groups in second-order tangent bundles induced by concircular transformations of bases // Ukr. Mat. Zh. - 2009. - 61, № 3. - pp. 346-364.

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