Mannheim offsets of ruled surfaces under the 1-parameter motions
In this study, the situation of Mannheim offsets of ruled surfaces under the 1-parameter motions is investigated. Firstly, relationships between geodesic Frenet trihedrons of Mannheim offsets of ruled surfaces are obtained and the relationship between the curvatures of the surface pairs is examined...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Sociedade Brasileira de Matemática
2022-02-01
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| Series: | Boletim da Sociedade Paranaense de Matemática |
| Online Access: | https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/50973 |
| _version_ | 1797633537672740864 |
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| author | Keziban Orbay Tevfik Sahin |
| author_facet | Keziban Orbay Tevfik Sahin |
| author_sort | Keziban Orbay |
| collection | DOAJ |
| description |
In this study, the situation of Mannheim offsets of ruled surfaces under the 1-parameter motions is investigated. Firstly, relationships between geodesic Frenet trihedrons of Mannheim offsets of ruled surfaces are obtained and the relationship between the curvatures of the surface pairs is examined. Also, change of integral invariants the surface pairs under the 1-parameter motions is studied. Finally, the relevant example is given for every Mannheim offsets of ruled surfaces.
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| first_indexed | 2024-03-11T11:55:22Z |
| format | Article |
| id | doaj.art-f2b97001623c4c0a9bba02f2f1472265 |
| institution | Directory Open Access Journal |
| issn | 0037-8712 2175-1188 |
| language | English |
| last_indexed | 2024-03-11T11:55:22Z |
| publishDate | 2022-02-01 |
| publisher | Sociedade Brasileira de Matemática |
| record_format | Article |
| series | Boletim da Sociedade Paranaense de Matemática |
| spelling | doaj.art-f2b97001623c4c0a9bba02f2f14722652023-11-08T19:49:10ZengSociedade Brasileira de MatemáticaBoletim da Sociedade Paranaense de Matemática0037-87122175-11882022-02-014010.5269/bspm.50973Mannheim offsets of ruled surfaces under the 1-parameter motionsKeziban Orbay0Tevfik Sahin1Amasya UniversityAmasya University In this study, the situation of Mannheim offsets of ruled surfaces under the 1-parameter motions is investigated. Firstly, relationships between geodesic Frenet trihedrons of Mannheim offsets of ruled surfaces are obtained and the relationship between the curvatures of the surface pairs is examined. Also, change of integral invariants the surface pairs under the 1-parameter motions is studied. Finally, the relevant example is given for every Mannheim offsets of ruled surfaces. https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/50973 |
| spellingShingle | Keziban Orbay Tevfik Sahin Mannheim offsets of ruled surfaces under the 1-parameter motions Boletim da Sociedade Paranaense de Matemática |
| title | Mannheim offsets of ruled surfaces under the 1-parameter motions |
| title_full | Mannheim offsets of ruled surfaces under the 1-parameter motions |
| title_fullStr | Mannheim offsets of ruled surfaces under the 1-parameter motions |
| title_full_unstemmed | Mannheim offsets of ruled surfaces under the 1-parameter motions |
| title_short | Mannheim offsets of ruled surfaces under the 1-parameter motions |
| title_sort | mannheim offsets of ruled surfaces under the 1 parameter motions |
| url | https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/50973 |
| work_keys_str_mv | AT kezibanorbay mannheimoffsetsofruledsurfacesunderthe1parametermotions AT tevfiksahin mannheimoffsetsofruledsurfacesunderthe1parametermotions |