Bertrand and Mannheim partner -curves on parallel surfaces

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A Study on Dual Mannheim Partner Curves

Mannheim partner curves are studied by Liu and Wang [3, 5]. Orbay and others extended the theory of the Mannheim curves to the ruled surface in Euclidean 3-space E3 [7]. We obtain the relationships between the curvatures and the torsions of the dual Mannheim partner curves with respect to each other. Mathematics Subject Classification: 53A04, 53A25, 53B40

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ژورنال

عنوان ژورنال: Boletim da Sociedade Paranaense de Matemática

سال: 2017

ISSN: 2175-1188,0037-8712

DOI: 10.5269/bspm.v35i2.24309