Special Partner Curves Derived From Mannheim Partner Curves

Fatma Guler, Gulnur Saffak Atalay, Emin Kasap

Abstract


In 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. Also, we analyzed the constraints on these new curves to be Bertrand and involute-evolute partner curves


Keywords


Darboux vector, Curves, Mannheim partner curves

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