On Pseudospherical Smarandache Curves in Minkowski 3-Space
In this paper we define nonnull and null pseudospherical Smarandache curves according to the Sabban frame of a spacelike curve lying on pseudosphere in Minkowski 3-space. We obtain the geodesic curvature and the expressions for the Sabban frame’s vectors of spacelike and timelike pseudospherical Sma...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/404521 |
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| _version_ | 1832548539878604800 |
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| author | Esra Betul Koc Ozturk Ufuk Ozturk Kazim Ilarslan Emilija Nešović |
| author_facet | Esra Betul Koc Ozturk Ufuk Ozturk Kazim Ilarslan Emilija Nešović |
| author_sort | Esra Betul Koc Ozturk |
| collection | DOAJ |
| description | In this paper we define nonnull and null pseudospherical Smarandache curves according to the Sabban frame of a spacelike curve lying on pseudosphere in Minkowski 3-space. We obtain the geodesic curvature and the expressions for the Sabban frame’s vectors of spacelike and timelike pseudospherical Smarandache curves. We also prove that if the pseudospherical null straight lines are the Smarandache curves of a spacelike pseudospherical curve α, then α has constant geodesic curvature. Finally, we give some examples of pseudospherical Smarandache curves. |
| format | Article |
| id | doaj-art-5aa6b71037f64acfbef5c0613cf8db02 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-5aa6b71037f64acfbef5c0613cf8db022025-02-03T06:13:53ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/404521404521On Pseudospherical Smarandache Curves in Minkowski 3-SpaceEsra Betul Koc Ozturk0Ufuk Ozturk1Kazim Ilarslan2Emilija Nešović3Department of Mathematics, Faculty of Sciences, University of Çankiri Karatekin, 18100 Çankiri, TurkeyDepartment of Mathematics, Faculty of Sciences, University of Çankiri Karatekin, 18100 Çankiri, TurkeyDepartment of Mathematics, Faculty of Sciences and Arts, University of Kirikkale, 71450 Kirikkale, TurkeyDepartment of Mathematics and Informatics, Faculty of Science, University of Kragujevac, 34000 Kragujevac, SerbiaIn this paper we define nonnull and null pseudospherical Smarandache curves according to the Sabban frame of a spacelike curve lying on pseudosphere in Minkowski 3-space. We obtain the geodesic curvature and the expressions for the Sabban frame’s vectors of spacelike and timelike pseudospherical Smarandache curves. We also prove that if the pseudospherical null straight lines are the Smarandache curves of a spacelike pseudospherical curve α, then α has constant geodesic curvature. Finally, we give some examples of pseudospherical Smarandache curves.http://dx.doi.org/10.1155/2014/404521 |
| spellingShingle | Esra Betul Koc Ozturk Ufuk Ozturk Kazim Ilarslan Emilija Nešović On Pseudospherical Smarandache Curves in Minkowski 3-Space Journal of Applied Mathematics |
| title | On Pseudospherical Smarandache Curves in Minkowski 3-Space |
| title_full | On Pseudospherical Smarandache Curves in Minkowski 3-Space |
| title_fullStr | On Pseudospherical Smarandache Curves in Minkowski 3-Space |
| title_full_unstemmed | On Pseudospherical Smarandache Curves in Minkowski 3-Space |
| title_short | On Pseudospherical Smarandache Curves in Minkowski 3-Space |
| title_sort | on pseudospherical smarandache curves in minkowski 3 space |
| url | http://dx.doi.org/10.1155/2014/404521 |
| work_keys_str_mv | AT esrabetulkocozturk onpseudosphericalsmarandachecurvesinminkowski3space AT ufukozturk onpseudosphericalsmarandachecurvesinminkowski3space AT kazimilarslan onpseudosphericalsmarandachecurvesinminkowski3space AT emilijanesovic onpseudosphericalsmarandachecurvesinminkowski3space |