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math.DG2013★ 13 cited
Rotation Minimizing vector fields and frames in Riemannian manifolds
Fernando Etayo
We prove that a normal vector field along a curve in R3 is rotation minimizing (RM) if and only if it is parallel respect to the normal connection. This allows us to generalize all…
math.DG2013
Singular 2 webs and Polar Curves
Fernando Etayo
A 2-web in the plane is given by two everywhere transverse 1-foliations. In this paper we introduce the study of singular 2-webs, given by any two foliations, which may be tangent…