Differential geometric connection of finite order on composite manifold, infinitesimal polygons and geometric interpretation of Bianchi identity
Let \(\Gamma\) be a higher order connection in the sense of \textit{V. V. Vagner} [Tr. Semin. Vektorn. Tensorn. Anal., Prilozh. Geom. Mekh. Fiz. 8, 11--72 (1950; Zbl 0041.29801)]. The author deduces several properties of the infinitesimal holonomy group of \(\Gamma\). In particular, his approach leads to a geometric interpretation of the Bianchi identity of \(\Gamma\).
scientific article; zbMATH DE number 97855