Split quaternions and time-like constant slope surfaces in Minkowski 3-space
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2012
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| _version_ | 1866911461522014208 |
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| author | Babaarslan, Murat Yayli, Yusuf |
| author_facet | Babaarslan, Murat Yayli, Yusuf |
| contents | In this paper, we prove that time-like constant slope surfaces can be reparametrized by using rotation matrices corresponding to unit time-like split quaternions and homothetic motions. Afterwards we give some examples to illustrate our main results by using Mathematica. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1206_3935 |
| institution | arXiv |
| publishDate | 2012 |
| record_format | arxiv |
| spellingShingle | Split quaternions and time-like constant slope surfaces in Minkowski 3-space Babaarslan, Murat Yayli, Yusuf Mathematical Physics 14Q10, 53A17, 53A35 In this paper, we prove that time-like constant slope surfaces can be reparametrized by using rotation matrices corresponding to unit time-like split quaternions and homothetic motions. Afterwards we give some examples to illustrate our main results by using Mathematica. |
| title | Split quaternions and time-like constant slope surfaces in Minkowski 3-space |
| topic | Mathematical Physics 14Q10, 53A17, 53A35 |
| url | https://arxiv.org/abs/1206.3935 |