Bertrand and Mannheim Curves of Spherical Framed Curves in a Three-Dimensional Sphere

We investigated differential geometries of Bertrand curves and Mannheim curves in a three-dimensional sphere. We clarify the conditions for regular spherical curves to become Bertrand and Mannheim curves. Then, we concentrate on Bertrand and Mannheim curves of singular spherical curves. As singular...

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Bibliographic Details
Main Authors: Masatomo Takahashi, Haiou Yu
Format: Article
Language:English
Published: MDPI AG 2022-04-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/10/8/1292