  We study a rolling model from the perspective of probability. More precisely,
we consider a Riemannian manifold rolling against Euclidean space, where the
rolling is coupled with random slipping and twisting. The system is modelled by
a stochastic differential equation of Stratonovich-type driven by
semimartingales, on the orthonormal frame bundle. The stability of the system
is examined via large deviations. We prove the large deviation principles for
the projection curves on the base manifold and their horizontal lifts
respectively, provided that the large deviation holds for the random Euclidean
curves as semimartingales. The large deviation results for the case of compact
manifolds and two special cases of noncompact manifolds are established.
