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In this paper, we define dual curvature motion on the dual hyperbolic unit sphere H20 in the dual Lorentzian space D31 with dual signature (+,+-) . We carry the obtained results to the Lorentzian line space R31 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 R31.

journal of applied mathematics and physics

Curvature Motion on Dual Hyperbolic Unit Sphere H&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;&amp;lt;sub style=&amp;quot;margin-left:-8px;&amp;quot;&amp;gt;0&amp;lt;/sub&amp;gt;