Sultanov, A. Ya. Prolongations of Riemannian metrics from differentiable manifold to its linear frame bundle. (English. Russian original) Zbl 0776.53028 Russ. Math. 36, No. 6, 87-95 (1992); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1992, No. 6(361), 93-102 (1992). The author deduces that the so-called complete lift \(g^ C\) of a Riemannian metric \(g\) on a manifold \(M\) to the bundle of all linear frames on \(M\) is a Riemannian metric as well. Then he studies the infinitesimal isometries of \(g^ C\) in connection with the infinitesimal isometries of \(g\). Reviewer: I.Kolář (Brno) Cited in 1 Document MSC: 53C20 Global Riemannian geometry, including pinching Keywords:complete lift; linear frames; infinitesimal isometries PDF BibTeX XML Cite \textit{A. Ya. Sultanov}, Russ. Math. 36, No. 6, 87--95 (1992; Zbl 0776.53028); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1992, No. 6(361), 93--102 (1992)