QUASI FOCAL CURVES OF ADJOINT CURVES OF TIMELIKE CURVES IN 3D MINKOWSKI SPACE-Reference-Cited by-同舟云学术

QUASI FOCAL CURVES OF ADJOINT CURVES OF TIMELIKE CURVES IN 3D MINKOWSKI SPACE

Published:2022-06-30 Issue:2 Volume:22 Page:407-412
ISSN:2068-3049
Container-title:Journal of Science and Arts
language:en
Short-container-title:J. Sci. Arts

Author:

KORPINAR TALAT¹,SAZAK AHMET¹,KORPINAR ZELIHA²

Affiliation:

1. MuşAlparslan University, Department of Mathematics, 49250 Muş, Turkey.

2. 2MuşAlparslan University, Department of Administration, 49250 Muş, Turkey.

Abstract

In this work, we obtain new results by examining the adjoint curve and focal curve, which are examples of associated curves. In particular, we examine the focal curve of the adjoint curve of a timelike curve we have described with quasi-frame ( Q-frame) elements in 3D Minkowski space M1^3. We first characterize the focal curves of adjoint curves by considering the Q-frame in M1^3 . Next, we determine the focal curvatures of this curve. In the last section, we give some results by obtaining the focal curve in M1^3 in terms of principal curve and adjoint curve.

Publisher

Valahia University of Targoviste - Journal of Science and Arts

Subject

General Earth and Planetary Sciences,General Environmental Science

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