Circular evolutes and involutes of spacelike framed curves and their duality relations in Minkowski 3-space-Reference-Cited by-同舟云学术

Circular evolutes and involutes of spacelike framed curves and their duality relations in Minkowski 3-space

Published:2024 Issue:3 Volume:9 Page:5688-5707
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Zhang Wei¹²,Li Pengcheng³,Pei Donghe¹

Affiliation:

1. School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, China

2. School of Mathematics and Statistics, Yili Normal University, Yining 835000, China

3. Department of Mathematics, Harbin Institute of Technology, Weihai 264209, China

Abstract

<abstract><p>In the present paper, we defined the circular evolutes and involutes for a given spacelike framed curve with respect to Bishop directions in Minkowski 3-space. Then, we studied the essential duality relations among parallel curves, normal surfaces, and circular evolutes and involutes. Furthermore, we also studied the duality relations of their singularities. Based on these studies, we found that it is crucially important to consider the duality relations among different geometric objects for the research of submanifolds with singularities.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

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