Krutogolova, A. V.; Pokas, S. M.; Tsekhmeystruk, L. G. Induced mappings of the Riemannian spaces of the second-order approximation. (Russian. English summary) Zbl 1316.53018 Mat. Stud. 41, No. 2, 220-224 (2014). Summary: For a nontrivial geodesic mapping \(\gamma\) of the Riemannian spaces \(\overline V_n\) and \(V_n\), we construct the spaces of the second-order approximation \(\widetilde{\overline V}^2_n\) and \(\widetilde V^2_n\). We study the mapping \(\widetilde\gamma\), which is induced by the mapping \(\gamma\). Also we obtain the deformation tensor of the mapping \(\widetilde\gamma\) in an explicit form. MSC: 53B20 Local Riemannian geometry Keywords:Riemannian space; geodesic mapping; deformation tensor × Cite Format Result Cite Review PDF