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

• Date: 2009
• Main Authors: Zubrilin, K. M., Зубрилин, К. М.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2009
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3024
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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 transfo...