One parameter dual lorentzian spherical motions and ruled surfaces
<p>In this work, we first introduced one parameter dual Lorentzian spherical motions in three dimensional dual Lorentz space <em>D^3_1</em> and spacelike<br />and timelike ruled surfaces in three dimensional Lorentz space <em>IR^3_1</em> corresponding to dual curve...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Università degli Studi di Catania
2008-11-01
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| Series: | Le Matematiche |
| Subjects: | |
| Online Access: | http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/61 |
| Summary: | <p>In this work, we first introduced one parameter dual Lorentzian spherical motions in three dimensional dual Lorentz space <em>D^3_1</em> and spacelike<br />and timelike ruled surfaces in three dimensional Lorentz space <em>IR^3_1</em> corresponding to dual curves on dual Lorentz unit sphere <em>S^2_1</em>. After that we have given the relations on the velocities and instantaneous rotation axis for one parameter Lorentzian spherical motions in dual Lorentz space <em>D^3_1</em>, with some examples on these timelike and spacelike ruled surfaces. Finally we have obtained the theorem related to the acceleration, acceleration centres and acceleration axis for these one parameter dual Lorentzian spherical motions.</p><p> </p><p> </p> |
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| ISSN: | 0373-3505 2037-5298 |