@article{oai:muroran-it.repo.nii.ac.jp:00009615,
 author = {TAKAHASHI,  Masatomo and 高橋, 雅朋},
 journal = {Contemporary Mathematics},
 month = {},
 note = {application/pdf, In order to consider singular curves in the unit sphere, we consider Legendre curves in the unit spherical bundle over the unit sphere. By using a moving frame, we de<br />ne the curvature of Legendre curves in the unit spherical bundle. As applications, we give a relationship among Legendre curves in the unit spherical bundle, Legendre curves in the unit tangent bundle and framed curves in the Euclidean space, respectively. Moreover, we de<br />ne not only an evolute of a front, but also an evolute of a frontal in the unit sphere under certain conditions. Since the evolute of a front is also a front, we can take evolute again. On the other hand, the evolute of a frontal if exists, is also a frontal. We give an existence and uniqueness conditions of the evolute of a frontal.},
 pages = {337--355},
 title = {Legendre curves in the unit spherical bundle over the unit sphere and evolutes},
 volume = {675},
 year = {2016},
 yomi = {タカハシ, マサトモ}
}