Mannheim partner curves in Cartan-Vranceanu 3-space | Zendy

Ayşe Yılmaz CEYLAN | Zendy; Abdullah Ergin | Zendy

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Mannheim partner curves in Cartan-Vranceanu 3-space

Author(s) -

Ayşe Yılmaz CEYLAN,

Abdullah Ergin

Publication year - 2016

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil1604089y

Subject(s) - biharmonic equation , mathematics , space (punctuation) , parametric equation , mathematical analysis , pure mathematics , geometry , philosophy , linguistics , boundary value problem

In this paper, the Mannheim mate curves of the proper biharmonic curves in Cartan-Vranceanu 3-dimensional spaces (M,ds2l,m), with l2 ≠ 4m and m ≠ 0 are studied. We give the definition of the Mannheim mate of a proper biharmonic curve and give the explicit parametric equations of that Mannheim mate curve in Cartan-Vranceanu 3-dimensional space. Moreover, we show that the distance between corresponding points of the Mannheim pairs is constant in Cartan-Vranceanu 3-dimensional spaces.

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