Kurek, J.; Mikulski, W. M. Riemannian structures on higher order frame bundles over Riemannian manifolds. (English) Zbl 1132.58003 Lobachevskii J. Math. 27, 41-46 (2007). Summary: We describe all \({\mathcal M} f_m\)-natural operators \(A : {\mathcal R}iem \to {\mathcal R}iem\,P^r\) transforming Riemannian structures \(g\) on \(m\)-dimensional manifolds \(M\) into Riemannian structures \(A(g)\) on the \(r\)-th order frame bundle \(P^rM = \text{inv}J_0^r(\mathbb R^m,M)\) over \(M\). MSC: 58A20 Jets in global analysis 58A32 Natural bundles PDFBibTeX XMLCite \textit{J. Kurek} and \textit{W. M. Mikulski}, Lobachevskii J. Math. 27, 41--46 (2007; Zbl 1132.58003) Full Text: EuDML EMIS