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arXiv · 1812.10207

Surfaces of revolution of frontals in the Euclidean space

Masatomo Takahashi·Keisuke Teramoto
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Abstract

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.

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Masatomo Takahashi, Keisuke Teramoto. 2018-12-26. Surfaces of revolution of frontals in the Euclidean space. https://doi.org/10.1007/s00574-019-00180-x

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