Geometric visualization of evolved ruled surfaces via alternative frame in Lorentz-Minkowski 3-space-Reference-Cited by-同舟云学术

Geometric visualization of evolved ruled surfaces via alternative frame in Lorentz-Minkowski 3-space

Published:2024 Issue:9 Volume:9 Page:25619-25635
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Li Yanlin¹,Abdel-Aziz H. S.²,Serry H. M.³,El-Adawy F. M.³,Saad M. Khalifa⁴

Affiliation:

1. School of Mathematics, Hangzhou Normal University, Hangzhou 311121, China

2. Department of Mathematics, Faculty of Science, Sohag University, Sohag, Egypt

3. Mathematics Department, Faculty of Science, Suez Canal University, Ismailia, Egypt

4. Department of Mathematics, Faculty of Science, Islamic University of Madinah, KSA

Abstract

<p>The main goal of this paper is to investigate the evolution equations for special types of timelike ruled surfaces with significant geometric and physical applications in Lorentz-Minkowski 3-space $ E_{1}^{3} $. Using the alternative frame associated with the basic curve of these surfaces, we explored their key geometric properties. Our analysis provided insights into the dynamics of local curvatures during their evolutions, enhancing the understanding of surface behavior. Finally, we present applications of our preliminary findings that contribute to the broader field of differential geometry.</p>

Publisher

American Institute of Mathematical Sciences (AIMS)

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