Relations between a Dual Unit Vector and Frenet Vectors of a Dual Curve

Burak Şahiner; Mehmet Önder

Article Details

Relations between a Dual Unit Vector and Frenet Vectors of a Dual Curve

Authors:

Burak Şahiner | Mehmet Önder

Publisher:

Kuwait University

Journal:

Kuwait Journal of Science Vol.43 Issue 3, pp.0-0

Document Type:

Article

Publication Date:

8/2016

Document Language:

English

Document ID (Org No.):

2001942811

pISSN:

2307-4116

Keywords:

Abstract:

 In this paper, we generalize the notions of helix and slant helix in dual space in a more general case such as the dual angle between a fixed dual unit vector and Frenet vectors of a dual curve is not constant. We study the motions of the lines corresponding to dual Frenet vectors and dual Frenet instantaneous rotation vector with respect to a fixed line. We obtain some characterizations for such dual curves and show that these characterizations include the definitions and characterizations of dual helix and dual slant helix in some special cases.

Article Details

Relations between a Dual Unit Vector and Frenet Vectors of a Dual Curve

Authors:

Burak Şahiner | Mehmet Önder

Publisher:

Kuwait University

Journal:

Kuwait Journal of Science Vol.43 Issue 3, pp.0-0

Document Type:

Article

Publication Date:

8/2016

Document Language:

English

Document ID (Org No.):

2001942811

pISSN:

2307-4116

Dual angle

dual Darboux slant helix

dual helix

dual slant helix

motions of Frenet vectors

Issues

Article Details

Relations between a Dual Unit Vector and Frenet Vectors of a Dual Curve

Authors: Burak Şahiner | Mehmet Önder

Publisher: Kuwait University

Journal: Kuwait Journal of Science Vol.43 Issue 3, pp.0-0

Document Type: Article

Publication Date: 8/2016

Document Language: English

Document ID (Org No.): 2001942811

pISSN: 2307-4116

Dual angle

dual Darboux slant helix

dual helix

dual slant helix

motions of Frenet vectors

Issues

Authors:

Burak Şahiner | Mehmet Önder

Publisher:

Kuwait University

Journal:

Kuwait Journal of Science Vol.43 Issue 3, pp.0-0

Document Type:

Article

Publication Date:

8/2016

Document Language:

English

Document ID (Org No.):

2001942811

pISSN:

2307-4116