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Mannheim partner curves in 3-space
Journal of Geometry, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liu, Huili, Wang, Fan
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Notes on lifting of Mannheim partner curve on tangent space \(T\mathbb{R}^3\)
2022Summary: In this paper, firstly, we define the Mannheim partner curve of Mannheim curve with respect to the vertical, complete and horizontal lifts on space \(\mathbb{R}^3\) to its tangent space \(T\mathbb{R}^3=\mathbb{R}^6\). Secondly, we examine the Frenet-Serret aparatus \(\{T^\ast(s), N^\ast(s), B^\ast(s),\kappa^\ast(s), \tau^\ast(s)\}\) of the ...
ÇAYIR, Haşim, AKPINAR, Rabia CAKAN
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Special Partner Curves Derived From Mannheim Partner Curves
2014In this paper, we obtain new partner curves by rotating the Frenet frame of a Mannheim partner curves to an angle of Darboux. We give necessary and sufficient conditions for these new curves to be Mannheim partner curves.
Guler, Fatma +2 more
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