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

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.