%0 Journal Article
%T Curvature Motion on Dual Hyperbolic Unit Sphere H<sup>2</sup><sub style="margin-left:-8px;">0</sub>
%A Ziya Yapar
%A Yasemin Sa£¿£¿ro£¿lu
%J Journal of Applied Mathematics and Physics
%P 828-836
%@ 2327-4379
%D 2014
%I Scientific Research Publishing
%R 10.4236/jamp.2014.28092
%X <p style=\"text-align:justify;\">
	<span style=\"font-size:14px;line-height:1.5;font-family:Verdana;\">In this paper, we define
dual curvature motion on the dual hyperbolic unit sphere H&lt;sup&gt;2&lt;/sup&gt;&lt;sub
style=\"margin-left:-8px;\"&gt;0&lt;/sub&gt; in the dual Lorentzian
space D&lt;sup&gt;3&lt;/sup&gt;&lt;sub style=\"margin-left:-8px;\"&gt;1&lt;/sub&gt;
with dual signature (+,+-) </span><span style=\"line-height:1.5;\"></span><span style=\"font-size:14px;line-height:1.5;font-family:Verdana;\">. We carry the obtained
results to the Lorentzian line space R&lt;sup&gt;3&lt;/sup&gt;&lt;sub
style=\"margin-left:-8px;\"&gt;1&lt;/sub&gt; by means of Study mapping.
Then we make an analysis of the orbits during the dual hyperbolic spherical
curvature motion. Finally, we find some line congruences, the family of ruled
surfaces and ruled surfaces in R&lt;sup&gt;3&lt;/sup&gt;&lt;sub
style=\"margin-left:-8px;\"&gt;1&lt;/sub&gt;.</span>
</p>
<br />
%K Dual Curvature Motion
%K Dual Lorentzian Space
%K Study Mapping
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=47947