Work

Evolutes and focal surfaces of non-null curves in Anti-de Sitter 3-space

Year: 2025

Type: article

Abstract: In this paper, we explore the geometric characteristics of non-null curves within Anti-de Sitter 3-space through the lens of singularity theory. We define the focal surface and evolutes of these curves, and introduce several geometric invariants. Utilizing these concepts, we examine the focal surfaces and evolutes as practical applications of function singularity theory.

Source: Journal of Mathematical Physics

DOI: 10.1063/5.0233661

Author: Sining Wei

Institution: Dongbei University of Finance and Economics

Language: English

Topic: Advanced Differential Geometry Research

Subfield: Astronomy and Astrophysics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funder: National Natural Science Foundation of China

Award: G7186353634