Bertrand and Mannheim partner D-curves on parallel surfaces

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KIZILTUĞ S., Önder M., TARAKCI Ö.

Boletim da Sociedade Paranaense de Matematica, vol.35, no.2, pp.159-169, 2017 (Scopus)

• Publication Type: Article / Article
• Volume: 35 Issue: 2
• Publication Date: 2017
• Doi Number: 10.5269/bspm.v35i2.24309
• Journal Name: Boletim da Sociedade Paranaense de Matematica
• Journal Indexes: Scopus
• Page Numbers: pp.159-169
• Keywords: Bertrand partner -curves, Mannheim partner -curves, Parallel surface
• Open Archive Collection: AVESIS Open Access Collection
• Manisa Celal Bayar University Affiliated: Yes

Abstract

In this paper we study Bertrand and Mannheim partner D-curves on parallel surface. Using the definition of parallel surfaces, first we find images of two curves lying on two different surfaces and satisfying the conditions to be Bertrand partner D-curve or Mannheim partner D-curve. Then we obtain relationships between Bertrand and Mannheim partner D-curves and their image curves.