“…For relevant literature on conformal metrics we refer to [20,16]. Curvature driven flows in hyperbolic spaces have been studied by [11,1,12,13,8], and related numerical approximations of elastic flow of curves can be found in [15,14,6,9] for the Euclidean case, and in [10,18,19,3,5] for the case of curves on hypersurfaces in R 3 .…”