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

  • K. M. Zubrilin


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.
How to Cite
Zubrilin, K. M. “P-Geodesic Transformations and Their Groups in Second-Order Tangent Bundles Induced by Concircular Transformations of Bases”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 61, no. 3, Mar. 2009, pp. 346-64, https://umj.imath.kiev.ua/index.php/umj/article/view/3024.
Research articles