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math.DG2013★ 4 cited
Symmetries of the Rolling Model
Yacine Chitour, Mauricio Godoy Molina, Petri Kokkonen
In the present paper, we study the infinitesimal symmetries of the model of two Riemannian manifolds and rolling without twisting or slipping. We show tha…
math.DG2010★ 25 cited
Rolling Manifolds: Intrinsic Formulation and Controllability
Yacine Chitour, Petri Kokkonen
In this paper, we consider two cases of rolling of one smooth connected complete Riemannian manifold onto another one $(\hM,\hg)$ of equal dimension . The rolling…