W. M. Mikulski
J. Kurek

Riemannian structures on higher order frame bundles over Riemannian manifolds

(Lobachevskii Journal of Mathematics, Vol.27, pp.41-46 )


We describe all M fm-natural operators A: Riem → Riem Pr transforming Riemannian structures g on m-dimensional manifolds M into Riemannian structures A(g) on the r-th order frame bundle PrM=invJr0(Rm, M) over M.

 

 

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