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 |
| Summary: | 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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| ISSN: | 0037-8712 2175-1188 |