Some Darboux motion on unit dual sphere and in space.
M. Yilmaz. Pure Appl. Math. Sci., 42 (1-2):
97-104(1995)
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.
%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
}