Surfaces of revolution of frontals in the Euclidean space
| Autor: | Masatomo Takahashi, Keisuke Teramoto |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
Mathematics - Differential Geometry
Surface (mathematics) Euclidean space General Mathematics Geometry Base (topology) Physics::History of Physics Computer Science::Robotics Differential Geometry (math.DG) FOS: Mathematics Gravitational singularity Surface of revolution 57R45 53A05 58K05 Legendre polynomials Mathematics |
| DOI: | 10.48550/arxiv.1812.10207 |
| Popis: | 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. Comment: 24 pages, 9 figures |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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