@article{oai:muroran-it.repo.nii.ac.jp:00009718,
 author = {LI, Yanlin and PEI, Donghe and TAKAHASHI,  Masatomo and 高橋, 雅朋 and YU, Haiou},
 issue = {2},
 journal = {The Quarterly Journal of Mathematics},
 month = {Dec},
 note = {application/pdf, In this paper, we introduce a one-parameter family of Legendre curves in the unit spherical bundle over the unit sphere and the curvature. We give the existence and uniqueness theorems for one-parameter families of spherical Legendre curves by using the curvatures. Then we define an envelope for the one-parameter family of Legendre curves in the unit spherical bundle. We also consider the parallel curves and evolutes of one-parameter families of Legendre curves in the unit spherical bundle and their envelopes. Moreover, we give relationships among one-parameter families of Legendre curves in the unit spherical bundle over the unit sphere and one-parameter families of Legendre curves in the unit tangent bundle over the Euclidean plane.},
 pages = {631--653},
 title = {Envelopes of legendre curves in the unit spherical bundle over the unit sphere},
 volume = {69},
 year = {2018},
 yomi = {タカハシ, マサトモ}
}