Surfaces of Revolution of Frontals in the Euclidean Space

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
Hauptverfasser: Takahashi, Masatomo, Teramoto, Keisuke
Format: Artikel
Sprache:eng
Schlagworte:
Cones
Curves
Euclidean geometry
Euclidean space
Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
Theoretical
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Zusammenfassung: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.
ISSN:1678-7544
1678-7714
DOI:10.1007/s00574-019-00180-x