学術雑誌論文 Dualities and evolutes of fronts in hyperbolic and de Sitter space

CHEN, Liang  ,  TAKAHASHI, Masatomo

437 ( 1 )  , pp.133 - 159 , 2016-05-01 , Elsevier
ISSN:0022-247x1096-0813
NII書誌ID(NCID):AA00252847AA11539130
内容記述
We consider the differential geometry of evolutes of singular curves in hyperbolic 2-space and de Sitter 2-space. Firstly, as an application of the basic Legendrian duality theorems, we give the definitions of frontals in hyperbolic 2-space or de Sitter 2-space, respectively. We also give the notions of moving frames along the frontals. By using the moving frames, we define the evolutes of spacelike fronts and timelike fronts, and investigate the geometric properties of these evolutes. As a result, these evolutes can be viewed as wavefronts from the viewpoint of Legendrian singularity theory. At last, we study the relationships among these evolutes.
本文を読む

https://muroran-it.repo.nii.ac.jp/?action=repository_action_common_download&item_id=8625&item_no=1&attribute_id=24&file_no=1

このアイテムのアクセス数:  回

その他の情報