Binormal motions of inextensible curves in de-sitter space S2,1

In the present work, we continue our study of motions of inextensible curves in de-sitter space S2,1, that we started in [1]. The binormal motions of timelike curves and spacelike curves with a timelike normal vector in S2,1 are described and studied. By the motions of these types of curves, new sur...

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Bibliographic Details
Main Author: Samah Gaber Mohamed
Format: Article
Language:English
Published: SpringerOpen 2017-07-01
Series:Journal of the Egyptian Mathematical Society
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S1110256X17300330
Description
Summary:In the present work, we continue our study of motions of inextensible curves in de-sitter space S2,1, that we started in [1]. The binormal motions of timelike curves and spacelike curves with a timelike normal vector in S2,1 are described and studied. By the motions of these types of curves, new surfaces (we will call them Hasimoto surfaces) are constructed and plotted by using the hollow ball model by Mathematica 7.
ISSN:1110-256X