Sign in to use this feature.

Years

Between: -

Subjects

remove_circle_outline
remove_circle_outline
remove_circle_outline
remove_circle_outline

Journals

Article Types

Countries / Regions

Search Results (1)

Search Parameters:
Keywords = Lorentzian height functions

Order results
Result details
Results per page
Select all
Export citation of selected articles as:
17 pages, 674 KB  
Article
Singularity Properties of Timelike Sweeping Surface in Minkowski 3-Space
by Yanlin Li, Sahar H. Nazra and Rashad A. Abdel-Baky
Symmetry 2022, 14(10), 1996; https://doi.org/10.3390/sym14101996 - 23 Sep 2022
Cited by 31 | Viewed by 2705
Abstract
In this paper, we give the parametric equation of the Bishop frame for a timelike sweeping surface with a unit speed timelike curve in Minkowski 3-space. We introduce a new geometric invariant to explain the geometric properties and local singularities of this timelike [...] Read more.
In this paper, we give the parametric equation of the Bishop frame for a timelike sweeping surface with a unit speed timelike curve in Minkowski 3-space. We introduce a new geometric invariant to explain the geometric properties and local singularities of this timelike surface. We derive the sufficient and necessary conditions for this timelike surface to be a timelike developable ruled surface. Afterwards, we take advantage of singularity theory to give the classification of singularities of this timelike developable surface. Furthermore, we give some representative examples to show the applications of the theoretical results. Full article
(This article belongs to the Section Mathematics)
Show Figures

Figure 1

Back to TopTop