Position Vectors of the Curves in Affine 3-Space According to Special Affine Frames

In literature, there are three affine frames commonly used for space curves, which are called equi-affine frame, Winternitz frame and intrinsic affine frame, respectively. In this study, we examined the position vectors of the space curves in affine 3-space for each of these three frames separately,...

Full description

Saved in:
Bibliographic Details
Published in:International journal of mathematical combinatorics 2019-06, Vol.2, p.43-59
Main Author: Tunçer, Yılmaz
Format: Article
Language:English
Subjects:
Algebra
Euclidean space
Frames
Geometry
Mathematical analysis
Mathematics
Planes
Vectors (mathematics)
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In literature, there are three affine frames commonly used for space curves, which are called equi-affine frame, Winternitz frame and intrinsic affine frame, respectively. In this study, we examined the position vectors of the space curves in affine 3-space for each of these three frames separately, in terms of lying in the planes {T, N}, {T, B} and {N, B} which are known as osculating, rectifying and normal planes, respectively and we obtained the position vectors and we gave some conclusions.
ISSN:1937-1055
1937-1047