New Type Direction Curves in 3-Dimensional Compact Lie Group-Reference-Cited by-同舟云学术

New Type Direction Curves in 3-Dimensional Compact Lie Group

Published:2019-03-16 Issue:3 Volume:11 Page:387
ISSN:2073-8994
Container-title:Symmetry
language:en
Short-container-title:Symmetry

Author:

Çakmak Ali

Abstract

In this paper, new types of associated curves, which are defined as rectifying-direction, osculating-direction, and normal-direction, in a three-dimensional Lie group G are achieved by using the general definition of the associated curve, and some characterizations for these curves are obtained. Additionally, connections between the new types of associated curves and the curves, such as helices, general helices, Bertrand, and Mannheim, are given.

Publisher

MDPI AG

Subject

Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2073-8994/11/3/387/pdf

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