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A New Approach To Homothetic Motions and surfaces with Tessarines |
| ( Volume 3 Issue 5,May 2017 ) OPEN ACCESS |
| Author(s): |
Faik BABADAG |
| Abstract: |
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This paper is a detailed study on homothetic motions, surfaces and Lie groups by considering the product and addition rules and conjugates of the tessarines which is given according to the arbitrary unit i₁. To do these, we define a matrix that is similar to Hamilton operators and give some algebraic properties of this matrix. And then, we introduce different the surfaces and different hyperquadrics . Also by using the homothetic motions we give some special subgroups of Lie groups and reparametrize the surfaces
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