Nullcone fronts of spacelike framed curves in Minkowski 3-space

P Li, D Pei - Mathematics, 2021 - mdpi.com
The investigation of objects in Minkowski space is of great significance, especially for those
objects with mathematical and physical backgrounds. In this paper, we study nullcone fronts …

Spacelike framed curves with lightlike components and singularities of their evolutes and focal surfaces in Minkowski 3-space

PC Li, DH Pei, X Zhao - Acta Mathematica Sinica, English Series, 2024 - Springer
In this paper, we define the evolute and focal surface of a spacelike framed curve with
lightlike components in Minkowski 3-space. It is a generalization of the previous results of …

Framed isophote curves on the framed surface

Z Li, P Li, D Pei - Optik, 2023 - Elsevier
The isophote curve on surfaces is an important consequence of Lambert reflect law in
optical research. In this paper, we define the framed isophote curve along a surface which …

Singularities of focal sets of pseudo-spherical framed immersions in the three-dimensional anti-de Sitter space

OO Tuncer - Differential Geometry and its Applications, 2024 - Elsevier
We introduce pseudo-spherical non-null framed curves in the three-dimensional anti-de
Sitter spacetime and establish the existence and uniqueness of these curves. We then give …

Pseudo‐spherical evolutes of lightlike loci on mixed type surfaces in Minkowski 3‐space

Y Wang, L Yang, Y Chang, H Liu - Mathematical Methods in …, 2023 - Wiley Online Library
A surface with nonempty timelike, lightlike, and spacelike points in Minkowski 3‐space is a
mixed type surface. The mixed type surface has a signature‐changing metric, and its …

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

W Zhang, P Li, D Pei - AIMS Mathematics, 2024 - aimspress.com
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 …