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arXiv:1812.10207 [math.DG]AbstractReferencesReviewsResources

Surfaces of revolution of frontals in the Euclidean space

Masatomo Takahashi, Keisuke Teramoto

Published 2018-12-26Version 1

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.

Comments: 24 pages, 9 figures
Categories: math.DG
Subjects: 57R45, 53A05, 58K05
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