Constructing a New Frame of Spacelike Curves on Timelike Surfaces in Minkowski 3-Space-Reference-Cited by-同舟云学术

Constructing a New Frame of Spacelike Curves on Timelike Surfaces in Minkowski 3-Space

Published:2020-05-06 Issue: Volume:19 Page:247-252
ISSN:1109-2769
Container-title:WSEAS TRANSACTIONS ON MATHEMATICS
language:en
Short-container-title:

Author:

Shonoda Emad N.¹,Saad M. Khalifa²

Affiliation:

1. Faculty of Science, Port-Said University, Mathematics and Computer Science Department, EGYPT, also with Mt. San Jacinto College, Mathematics Department, California, USA

2. Faculty of Science, Sohag University, Mathematics Department, EGYPT, also with Faculty of Science, Islamic University of Madinah, Mathematics Department, 170 Al-Madinah, Saudi Arabia

Abstract

In this paper, we define a relativeMinkowski normal plane and relative tangent vector TM:We construct a new relative S-frame (Shnoda-Saad frame) of regular spacelike curves on timelike surfaces. It depends only on the curve lies on the surface, Euclidean and Minkowski unit normal vectors. Also, we define S-curve according to this frame with some related theorems.

Publisher

World Scientific and Engineering Academy and Society (WSEAS)

Subject

General Mathematics

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