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Surfaces of Revolution of Frontals in the Euclidean Space
Bulletin of the Brazilian Mathematical Society, New Series ( IF 0.9 ) Pub Date : 2019-11-15 , DOI: 10.1007/s00574-019-00180-x
Masatomo Takahashi , Keisuke Teramoto

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.

中文翻译:

欧几里得空间中锋面的旋转面

对于勒让德曲线,我们考虑锋面的旋转曲面。正面的旋转表面可以被认为是一个框架基面。我们通过使用勒让德曲线的曲率给出了旋转曲面的曲率和基本不变量。此外,我们给出了具有奇点和锥体的旋转表面的特性。
更新日期:2019-11-15
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