Lifts of maps to frame bundles

Kamil Niedzialomski, Malgorzata Niedzialomska

Let $(M,g)$ be a Riemannian manifold, $L(M)$ be its frame bundle, $O(M)$ its orthonormal frame bundle. For a distribution $D$ on $M$ we define a subbundle $L(D)\subset L(M)$ or $O(…