Some Parallel Surfaces in Three-Dimensional Minkowski Space as the Discriminant Set of a Certain Family of Functions
Year: 2024
Type: article
Abstract: In this paper we prove that, in three-dimensional Minkowski space, the family of parallel surfaces to a given surface at a certain distance can be obtained as the discriminant set of a certain family of functions. As consequence, we obtain that Minkowski spheres with prescribed radius, having contact of order 1 with a surface, have the centers on the parallel surface at distance equal to the radius. We give an example showing that the parallel surface to a timelike flat surface admits cuspidal edge as singularity
Source: Contemporary Mathematics
Author: Patriciu Alina-Mihaela
Institution: "Dunarea de Jos" University of Galati
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4404773838