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