Evolutoids and pedaloids of frontals on timelike surfaces-Reference-Cited by-同舟云学术

Evolutoids and pedaloids of frontals on timelike surfaces

Published:2023-01-01 Issue:1 Volume:21 Page:
ISSN:2391-5455
Container-title:Open Mathematics
language:en
Short-container-title:

Author:

Wang Yongqiao¹,Yang Lin¹,Chang Yuan²,Liu Haiming³

Affiliation:

1. School of Science, Dalian Maritime University , 116026 Dalian , China

2. School of Mathematics, Dongbei University of Finance and Economics , 116012 Dalian , China

3. School of Mathematics, Mudanjiang Normal University , 157011 Mudanjiang , China

Abstract

Abstract In this article, we define evolutoids and pedaloids of frontals on timelike surfaces in Minkowski 3-space. The evolutoids of frontals on timelike surfaces are not only the generalization of evolutoids of curves in the Minkowski plane but also the generalization of caustics in Minkowski 3-space. As an application of the singularity theory, we classify the singularities of evolutoids and reveal the relationships between the singularities and geometric invariants of frontals. Furthermore, we find that there exists a close connection between the pedaloids of frontals and the pedal surfaces of evolutoids. Finally, we give some examples to demonstrate the results.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/math-2023-0149/pdf

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