%0 Journal Article %T Surfaces Around Closed Principal Curvature Lines, an Inverse Problem %A R. Garcia %A L. F. Mello %A J. Sotomayor %J Mathematics %D 2010 %I arXiv %X Given a non circular spacial closed curve whose total torsion is an integer multiple of $2\pi$, we construct a germ of a smooth surface that contains it as a hyperbolic principal cycle. %U http://arxiv.org/abs/1003.4242v1