Classification of Surfaces of Coordinate Finite Type in the Lorentz–Minkowski 3-Space
| Autor: | Hassan Al-Zoubi, Alev Kelleci Akbay, Tareq Hamadneh, Mutaz Al-Sabbagh |
|---|---|
| Přispěvatelé: | Mühendislik ve Doğa Bilimleri Fakültesi -- Mühendislik Temel Bilimleri Bölümü, Akbay, Alev Kelleci |
| Jazyk: | angličtina |
| Rok vydání: | 2022 |
| Předmět: |
Revolution
Algebra and Number Theory Logic Surfaces in E13 Surfaces of revolution Surfaces of coordinate finite type Laplace operator surfaces in ({E_{1}^{3}}) surfaces of revolution surfaces of coordinate finite type Ruled Surface Gauss Map Mathematics - Applied Statistics & Probability - Harmonic Maps Hypersurface Geometry and Topology Ruled surfaces Mathematical Physics Analysis Mathematics |
| Zdroj: | Axioms; Volume 11; Issue 7; Pages: 326 |
| Popis: | In this paper, we define surfaces of revolution without parabolic points in three-dimensional Lorentz–Minkowski space. Then, we classify this class of surfaces under the condition ΔIIIx=Ax, where ΔIII is the Laplace operator regarding the third fundamental form, and A is a real square matrix of order 3. We prove that such surfaces are either catenoids or surfaces of Enneper, or pseudo spheres or hyperbolic spaces centered at the origin. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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