%0 Journal Article %1 yilmaz:some-darboux-motion-on-unit-dual-sphere-and-in-space %A Yilmaz, M. %D 1995 %J Pure Appl. Math. Sci. %K Darboux algebra; curve; dual numbers; rotation; rotations; ruled surface} {Clifford %N 1-2 %P 97-104 %T Some Darboux motion on unit dual sphere and in space. %V 42 %X The Darboux rotation for a curve on the dual unit sphere is decomposed into two simultaneous dual rotations. Then the spatial motion corresponding these dual motions can also be decomposed into two motions, a rotation and a general motion, in space. These decompositions of the dual Darboux rotations and spatial motions yield to some necessary conditions for a dual curve and ruled surface to be closed.

@article{yilmaz:some-darboux-motion-on-unit-dual-sphere-and-in-space, abstract = {{The Darboux rotation for a curve on the dual unit sphere is decomposed into two simultaneous dual rotations. Then the spatial motion corresponding these dual motions can also be decomposed into two motions, a rotation and a general motion, in space. These decompositions of the dual Darboux rotations and spatial motions yield to some necessary conditions for a dual curve and ruled surface to be closed.} }, added-at = {2008-03-02T02:12:02.000+0100}, author = {Yilmaz, M.}, biburl = {https://www.bibsonomy.org/bibtex/2fb9291afbd7b31c32f460dfb134adca6/dmartins}, classmath = {{*15A66 Clifford algebras 53A04 Curves in Euclidean space}}, description = {robotica-bib}, interhash = {2fa169ce3cacabbbd6fc681db418babb}, intrahash = {fb9291afbd7b31c32f460dfb134adca6}, journal = {Pure Appl. Math. Sci.}, keywords = {Darboux algebra; curve; dual numbers; rotation; rotations; ruled surface} {Clifford}, language = {English}, number = {1-2}, pages = {97-104}, timestamp = {2008-03-02T02:14:44.000+0100}, title = {{Some Darboux motion on unit dual sphere and in space.}}, volume = 42, year = 1995 }