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- Title
Homothetic Bishop Motion Of Euclidean Submanifolds in Euclidean 3-Space.
- Authors
TUNÇER, Yılmaz; KARACAN, Murat Kemal; Dae Won YOON
- Abstract
In this study, we gave an alternative kinematic model for two smooth submanifolds M and N both on another and inside of another, along given any two curves which are tangent to each other on M and N at every moment, which the motion accepted that these curves are trajectories of the instantaneous rotation centers at the contact points of these submanifolds and we gave some remarks for the kinematic model at every moments by using Bishop frame. In addition, we established the relationships between Bishop curvatures of the moving and fixed pole curves.
- Subjects
DARBOUX transformations; MATHEMATICAL transformations; KINEMATIC geometry
- Publication
Palestine Journal of Mathematics, 2016, Vol 5, Issue 2, p183
- ISSN
2219-5688
- Publication type
Article