Work

Non‐Newtonian Evolutoids and Pedaloids of Multiplicative Plane Curves

Year: 2025

Type: article

Abstract: The aim of this paper is to investigate properties of non‐Newtonian (multiplicative) evolutoids and pedaloids of multiplicative plane curves in multiplicative Euclidean space. First, we define the notions of multiplicative pedal curve, multiplicative evolute, multiplicative evolutoids, multiplicative pedaloids, and multiplicative contrapedal of regular multiplicative plane curves. In addition, we elucidate the connection between the multiplicative evolutoids and the multiplicative pedaloids of a regular multiplicative plane curve. Next, we extend the definitions of multiplicative evolutoids and pedaloids to encompass the multiplicative frontal curves. Finally, we present two examples to demonstrate the main results.

Source: International Journal of Mathematics and Mathematical Sciences

DOI: 10.1155/ijmm/9925055

Authors: Xinyu Yao, Haiming Liu

Institution: Mudanjiang Normal University

Language: English

Topic: Advanced Differential Geometry Research

Subfield: Astronomy and Astrophysics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,240

Funders: Natural Science Foundation of Heilongjiang Province, Mudanjiang Normal University