Surfaces of Revolution of Frontals in the Euclidean Space
For Legendre curves, we consider surfaces of revolution of frontals. The surface of revolution of a frontal can be considered as a framed base surface. We give the curvatures and basic invariants for surfaces of revolution by using the curvatures of Legendre curves. Moreover, we give properties of s...
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| Veröffentlicht in: | Boletim da Sociedade Brasileira de Matemática 2020-12, Vol.51 (4), p.887-914 |
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| container_title | Boletim da Sociedade Brasileira de Matemática |
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| creator | Takahashi, Masatomo Teramoto, Keisuke |
| description | For Legendre curves, we consider surfaces of revolution of frontals. The surface of revolution of a frontal can be considered as a framed base surface. We give the curvatures and basic invariants for surfaces of revolution by using the curvatures of Legendre curves. Moreover, we give properties of surfaces of revolution with singularities and cones. |
| doi_str_mv | 10.1007/s00574-019-00180-x |
| format | Article |
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| subjects | Cones Curves Euclidean geometry Euclidean space Mathematical and Computational Physics Mathematics Mathematics and Statistics Theoretical |
| title | Surfaces of Revolution of Frontals in the Euclidean Space |
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